Basic Engineering Correlation (Physics Reviewer)
1. The system shown is in static equilibrium. Find W.
Select one: a. 1000 N b. 1700 N c. 1500 N d. 830 N
2. What is the force in member AF?
Select one: a. 5000 N b. 15 000 N c. 10 000 N d. O
*3. A ball is dropped from rest at a point 12 m above the ground into a smooth, frictionless chute. The ball exist the chute 2 m above the ground and at angle 45o from the horizontal. Air resistance is negligible. Approximately how far will the ball travel in the horizontal direction before hitting the ground?
Select one: a. 22 m b. 20 m c. 24 m d. 12 m
*4. The structure shown is formed of three separate solid aluminium cylindrical rods, each with a 1 cm diameter. What is the -coordinate of the centroid of volume for the structure? Select one: a. 15.2 cm b. 16.0 cm c. 15.9 cm d. 14.0 cm
5. A projectile has an initial velocity of 110 m/s and a launch angle of 20o from the horizontal. The surrounding terrain is level, and air friction is to be disregarded. What is the maximum elevation achieved by the projectile?
Select one: a. 350 m b. 72 m c. 140 m d. 620 m
6. What are R1 and R2? (insert question #11) Select one: a. 1250 N b. 1250 N; R2 / c. 1000 N; R2 / d. R1 / e. 3750 N f. 4000 N g. 2500 N; R2 / h. 1250 N i. R1 / j. R1 / k. 3750 N; R2 / l. R1 /
7. What is the reaction at point A?
Select one: a. 710 N b. O c. 500 N d. 290 N
8. A turntable capable of angularly accelerating at 12 rad/s2 needs to be given an initial angular velocity if it is to rotate through a net 400 radians in 6 seconds. What must its initial angular velocity be?
Select one: a. 33 rad/s b. 21 rad/s c. 200 rad/s d. 28 rad/s
9. A 550 kg mass initially at rest acted upon by a force of 50 et N. What are the acceleration, speed, and displacement of the mass at t = 4 s? Select one: a. 4.96 m/s2,4.87 m/s,19.5 m b. 4.96 m/s2,135.5 m/s,2466 m c. 4.96 m/s2,271 m/s,3900 m d. 4.96 m/s2,4.96 m/s,19.8 m
*10. A constant force of 750 N is applied through a pulley system to lift a mass of 50 kg as shown. Neglecting the mass and friction of the pulley system, what is the acceleration of the 50 kg mass? Select one: a. 20.2 m/s2 b. 16.2 m/s2 c. 8.72 m/s2 d. 5.20 m/s2
11. A child keeps a 1 kg toy airplane flying horizontally in a circle by holding onto a 1.5 m long string attached to its wing tip. The string is always in the plane of the circular flight path. If the plane flies at 10 m/s, what is the tension in the string? Select one: a. 15 N b. 28 N c. 7 N d. 67 N
12. One newton is the force required to Select one: a. give a 1 g mass an acceleration of 1m/s2. b. accelerate a 10 kg mass at a rate of 0.10 m/s2. c. accelerate a 1 kg mass at a rate of 9.81 m/s2 d. accelerate a 1 kg mass at a rate of 1.00 cm/s2.
13. What is the approximate centroidal polar moment of inertia of the area?
Select one: a. 27.3cm4 b. 25.6 cm4 c. 16.2 cm4 d. 21.4 cm4
14. A 4-A current is maintained in a simple circuit with a total resistance of 2 ohms. How much energy is delivered in 3 seconds? Select one: a. 3J b. 12J c. 6 J d. 96J
15. In the pin-jointed truss shown, what is the force in member DE?
Select one:
a. 3500 N b. 2500 N c. O d. 550 N
*16. Link AB of the linkage mechanism shown in the illustration rotates with an instantaneous counter clockwise angular velocity of 10 rad/s. What is the instantaneous angular velocity of link BC when link AB is horizontal and link CD is vertical?
Select one: a. 3.25 rad/s (counter clockwise) b. 2.25 rad/s (clockwise) c. 12.5 rad/s (clockwise) d. 5.50 rad/s (clockwise)
17. Why does a spinning ice skater's angular velocity increase as she brings her arms in toward her body? Select one: a. Her angular momentum is constant b. Her radius of gyration is reduced. c. Her mass moment of inertia is reduced. d. all of the above
18. A flywheel rotates at 7200 rev/min when the power is suddenly cut off. The flywheel decelerates at a constant rate of 2.1 rad/s2 and comes to rest 6 min later. How many revolutions does the flywheel make before coming to rest? Select one: a. 390 000 rev b. 18 000 rev c. 22 000 rev d. 72 000 rev
19. Two 2 kg block are linked as shown. Assuming that the surfaces are frictionless, what is the velocity of block B if block A is moving at a speed of 3 m/s?
Select one:
a. 1.30 m/s b. 0 m/s c. 5.20 m/s d. 1.73 m/s
*20. Find the distance between position B and C.
Select one: a. 3.23 m b. 10.1 m c. 4.78 m d. 7.78 m
21. A weekend plumber, unable to loosen a pipe fitting, slips a piece of scrap pipe (a "cheater") over his wench handle. He then applies his full mass of 100 kg to the end of the cheater by standing on it. The distance from the center of the fitting on the point where the weight acts is 0.80 m and the wrench handle and cheater make an angle of 19° with the horizontal. Find the magnitude and direction of the torque he applies about the center of the pipefitting. Select one: a. 740 N b. 120 N c. 360 N d.
520 N
*22. A 1530 kg car is towing a 300 kg trailer. The coefficient of friction between all tires and the road is 0.80. How fast can the car and trailer travel around an unbanked curve of radius 200 m without either the car or trailer skidding? Select one: a. 143 km/h b. 75.2 km/h c. 40.0 km/h d. 108.1 km/h
23. A rope passes over a fixed sheave as shown. The two rope ends are parallel. A fixed load on one end of the rope is supported by a constant force on the other end. The coefficient of friction between the rope and the sheave is 0.30. What is the ratio of tensile forces in the two rope ends?
Select one: a. 2.6 b. 1.6
c. 1.2 d. 1.1
24. If the sum of the forces on a particle is not equal to zero, the particle is Select one: a. moving with a constant velocity opposite to the direction of the resultant force. b. accelerating in a direction opposite to the resultant force. c. accelerating in the same direction as the resultant force. d. moving with constant velocity in the direction of the resultant force.
25. What is the -coordinate of the centroid of the perimeter line?
Select one: a. 1.66 cm b. 1.56 cm c. 1.75 cm d. 1.80 cm
26. An angle bracket is subjected to the forces and couple shown. Determine the equivalent force-couple system at point A
Select one: a. 292 N at -5.9o ; 103 N.m b. 333 N at 42.9o ; 53 N.m c. 114 N at 15.3o ; 50 N.m d. 307 N at 10.4o ; 110 N.m
27. In the figure, a very small toy race car of mass m is released from rest on the loop-the-loop track. If it is released at a height 2R above the floor, how high is it above the floor when it leaves the track, neglecting friction? Select one: a. 1.33 R b. 2.00 R c. 1.67 R d. 1.50 R
*28. Find the acceleration of block A after the blocks are released.
Select one: a. 2.5 m/s b. 0 m/s c. 1.4 m/s d. 5.6 m/s
29. Where can a couple be moved on a rigid body to have an equivalent effect? Select one: a. along the perpendicular bisector joining the two original forces b. along the line of action c. anywhere on the rigid body d. in a parallel plane
30. What is the reaction at point B?
Select one: a. 20 000 N b. 10 000 N c. 15 000 N d. 5000 N
31. Find the -and y-coordinates of the centroid of wire ABC
Select one: a. 0.43 m ; 1.29 m b. 2.71 m ; 1.49 m c. 3.33 m ; 2.67 m d. 0.64 m ; 2.83 m
32. For a force to do work it must be ____ the displacement Select one: a. shorter than b. equal in magnitude to c. parallel or antiparallel to d. perpendicular to
33. For which of the following situation is the net force acting on a particle necessarily equal to zero? Select one: a. The particle has constant linear momentum. b. The particle has constant angular momentum. c. The particle has constant kinetic energy. d. The particle is traveling at constant velocity around a circle.
34. A perfect sphere moves up a frictionless incline. Which of the following quantities increases? Select one: a. potential energy b. total energy c. angular velocity d. linear momentum
*35. A single force (not shown) is applied at point B in the y-direction, in line with points A and B. What should this force being order for the frame to be in equilibrium in that direction?.
Select one: a. -280 N (down) b. 120 N (down) c. 180 N (down) d. -250 N (down)
*36. A cable passes over a stationary sheave and supports a 60 kg bucket, as shown. The coefficient of friction between the cable abd the sheave is 0.10. The cable has a uniform mass per unit length of 0.4 kg/m. The cable is in the shape of a catenary due to its own weight. The tension of the cable at the pulley is given by T = wy, where w is the weight per unit length and the constant y (for this configuration) is known to be 151 m. How much more mass can be added to the4 bucket before the cable slips over the pulley?
Select one: a. 12.1 kg b. 11.6 kg c. 10.0 kg d. 0
37. The moment of inertia about the -axis of the cross section shown is 245833 cm4. If the cross-sectional area is 250 cm2 and the thickness of the web and the flanges are the same, what is the moment of inertia about the centroidal axis?
Select one: a. 2.1 x 104 cm4 b. 1.5 x 105 cm4 c. 2.5 x 105 cm4 d. 8.0 x 104 cm4
38. Assume that the centroidal moment of inertia of area A2 with respect to the composite centroidal -axis is 73.94 cm4. The moment of inertia of area A2 with respect to the composite centroidal horizontal axis is 32.47 cm4. What is the moment of inertia of the composite area with respect to its centroidal -axis?
Select one: a. 560 cm4 b. 460 cm4 c. 480 cm4 d. 350cm4
39. Find the tension, T, that must be applied to pulley A to lift the 1200 N weight.
Select one: a. 600 N b. 300 N c. 100 N d. 400 N
40. What are the - and y-coordinates of the centroid of the area?
Select one: a. 3.0 cm ; 4.0 cm b. 2.4 cm ; 3.4 cm c. 3.0 cm ; 3.6 cm d. 3.0 cm ; 3.8 cm
*41. Determine the force in member FH for the pi-connected truss shown.
Select one: a. 4130 N (tension) b. 0 c. 2320 N (compression) d. 3840 N (tension)
42. What is the period of a pendulum that passes the center point 20 times a minute. Select one: a. 0.2 s b. 3 s c. 6 s
d. 0.3 s
43. A 2kg block rests on 34o incline. If the coefficient of static friction is 0.2, how much additional force, F, must be applied to keep the block from sliding down the incline?
Select one: a. 14 N b. 9.1 N c. 7.7 N d. 8.8 N
*44. A uniform rod (AB) of length L and weight W is pinned at point C. An initial impulse starts the rod accelerating with an initial angular acceleration (in rad/s2) of g/L. What is the initial reaction at point C?
Select one: a. w/3 b. w/4 c. 4w/7 d. 4w/7
45. What is the radius of gyration about a horizontal axis passing through the centroid? Select one: a. 1.7 cm b. 0.86 cm c. 3.7 cm d. 2.3 cm
46. A 153 kg car is towing a 300 kg trailer. The coefficient of friction between all tires and the road is 0.80. The car and trailer are traveling at 100 km/h around a banked curve of radius 200 m. What is the necessary banking angle such that tire friction will not be necessary to prevent skidding? Select one: a. 36o b. 78o c. 21o d. 8o
47. A 47.2-kg child is standing on the outer edge of a merry-go-round that has moment of inertia 543 kg · m2 and radius 2.40 m. The entire system is initially rotating at 0.180 rev/s. Find the angular velocity if the child moves to a final position 1.10 m from the center of the merry-go-round. Select one:
a. 4.123 rev/s b. 0.132 rev/s c. 0.244 rev/s d. 1.324 rev/s
48. A hollow cylinder has a mass of 2 kg, a height of 1 m, an outer diameter of 1 m, and an inner diameter of 0.8 m. What is the cylinders mass moment of inertia about an axis perpendicular to the cylinders longitudinal axis and located at the cylinders end?
Select one: a. 0.79 kg m2 b. 0.87 kg m2 c. 1.49 kg m2 d. 0.41 kg m2
*49. Rigid link AB is 12 m long. It rotates counter clockwise about point A at 12 rev/min. A thin disk with radius 1.75 m is pinned at its center to the link at point B. The disk rotates counter clockwise at 60 rev/min with respect to point B. What is the maximum tangential velocity seen by any point on the disk?
Select one: a. 45 m/s b. 28 m/s c. 33 m/s d. 6 m/s
50. A car is pulling a trailer at 100 km/h. A 5 kg cat riding on the roof of the car jumps from the car to the trailer. What is the change in the cat's momentum? Select one: a. -25 N s (loss) b. 0 N s c. 1300 N s(gain) d. 25 N s (gain)
51. What is the magnitude of the couple that exactly replaces the moment that is removed?
Select one: a. 2.5 N m b. 0.16 N m c. 15 N m d. 0.08 N m
52. Refer to a particle for which the position is defined by s(t) = 2 sin tj [tin radians]. What is the magnitude of the particles velocity at t = 4 rad? Select one: a. 3.30 b. 4.12 c. 2.75 d. 2.61
*53. A 2 kg mass swings in a vertical plane at the end of a 2 m cord. When = 30o, the magnitude of the tangential velocity of the mass is 1 m/s. What is the tension in the cord at this position?
Select one: a. 19.6 N b. 29.4 N c. 18.0 N d. 24.5 N
54. What total torque is applied to the pulley?
Select one:
a. O b. 230 N m c. 300 N m d. 280 N m
55. A fisherman cuts his boats engine as it is entering a harbor. The boat comes to a dead stop with its front end touching the dock. The fisherman's mass is 80 kg. He moves 5 m from his seat in the back to the front of the boat in 5 s, expecting to be able to reach the dock. if the empty boat has a mass of 300 kg, how far will the fisherman have to jump to reach the dock? Select one: a. 1.3 m b. 0.0 m c. 5.0 m d. 1.9 m
*56. A cannonball of mass 10 kg is fired from a cannon of mass 250 kg. The initial velocity of the cannonball is 1000 km/h. All of the cannon's recoil is absorbed by a spring with a spring constant of 250 N/cm. What is the maximum recoil distance of the cannon? Select one: a. 0.59 m b. 0.35 m c. 0.92 m d. 0.77 m
57. The cylinder shown is acted on by couple M. Wall A is frictionless (µs = 0), but the coefficient of static friction between the cylinder and wall B is µs = 0.3. The cylinder has a weigh of 200 N. What is the largest value of the couple M for which the cylinder will not turn?
Select one: a. 96 N m b. 31 N m c. 72 N m d. 48 N m
58. What is the polar radius of gyration?
Select one: a. 4.2 m b. 4.9 m c. 3.6 m
d. 4.0 m
59. Three concurrent forces act as shown.
If the forces are in equilibrium, and F2 is 11 N, what is the magnitude of F1? Select one: a. 10 N b. 8 N c. 12 N d. 11 N
60. If the car described in Prob.72 moves along a track that is banked 5o, what is the smallest radius it can travel without skidding? Select one: a. 47 m b. 6 m c. 26 m d. 18 m
*61. Find the force in member BC.
Select one: a. 50 000 N (compression) b. 50 000 N (tension) c. 52 700 N (compression) d. 16 700 N (tension)
*62. A projectile is fired from a cannon with an initial velocity of 1000 m/s and at an angle of 30o from the horizontal. What distance from the cannon will the projectile strike the ground if the point of impact is 1500 m below the point of release?
Select one: a. 90 800 m b. 78200 m c. 67300 m d. 8200 m
63. Quantity of inertia possessed by an object or the proportion between force and acceleration Select one: a. Mass b. Moment of inertia c. Velocity d. Momentum
64. A varying force acts on a 40 kg weight as shown in the following force versus time diagram. What is the object's velocity at t = 4 s if the object start from
Select one: a. 0.30 m/s b. 0.075 m/s c. 0.15 m/s d. 0 m/s
65. A I kg uniform rod 1 m long is suspended from the ceiling by a frictionless hinge. The rod is free to pivot. What is the product of inertia of the about the pivot point? Select one: a. 0 kg m2 b. 0.045 kg m2 c. 0.13 kg m2 d. 0.33 kg m2
66. Three forces act on a hook. Determine the magnitude of the resultant of the forces. Neglect hook bending.
Select one: a. 1250 N b. 989 N c. 1510 N d. 1140 N
67. The support force exerted on an object in contact with another stable object Select one: a. Normal force b. Weight c. Tension d. Gravity
68. Refer to a particle whose curvilinear motions is represented by the equation s = 20t + 4t2 - 3t3. What is particles initial velocity? Select one: a. 25 m/s b. 20 m/s c. 32 m/s d. 30 m/s
69. What is the tension in cable AB?
Select one: a. 250 N b. 430 N c. 870 N d. 500 N
70. A 100 kg block is pulled along a smooth, flat surface by an external 500 N force. If the coefficient of friction between the block and the surface is 0.15, what acceleration is experienced by the block due to the external force?
Select one: a. 4.33 m/s2 b. 3.23 m/s2 c. 5.00 m/s2 d. 3.80 m/s2
*71. A motorist is travelling at 70 km/h when he sees a traffic light in an intersection 250 m ahead turn red. The light's red cycle is 15 s. The motorist wants to enter the intersection without stopping his vehicle, just as the light turns green. What uniform deceleration of the vehicle will just put the motorist in the intersection when the light turns greens? Select one: a. 0.18 m/s2 b. 1.3 m/s2 c. 0.37 m/s2 d. 25 m/s2
72. The nuts on a collar are each tightened to 18 N m torque. 17% of this torque is used to overcome screw thread friction. The bolts have a nominal diameter of 10 mm. The threads are a simple square cut with a pitch angle of 15o. The coefficient of friction in the threads is 0.10. What is the approximate tensile force in each bolt?
Select one: a. 203 N b. 1620 N c. 405 N d. 132 N
73. During the time a compact disc (CD) accelerates from rest to a constant rotational speed of 477 rev/min, it rotates through an angular displacement of 0.250 rev. What is the angular acceleration of the CD Select one: a. 358 rad/s2 b. 794 rad/s2 c. 126 rad/s2 d. 901 rad/s2
74. A 6.0-kg block is released from rest 80m above the ground. When it has fallen 60m its kinetic energy is approximately: Select one: a. 4800 J b. 1176 J c. 3528 J d. 120 J
75. A particle starting from rest experienced an acceleration of 3 m/s2 for 2 s. The particle then returned to rest in a distance of 8 m. Assuming all accelerations were uniform, what was the total time elapsed for the particles motion? Select one: a. 5.33 s b. 4.67 s c. 2.67 s d. 4.00 s
76. A rope passes over a fixed sheave as shown. The two rope ends are parallel. A fixed load on one end of the rope is supported by a constant force on the other end. The coefficient of friction between the rope and the sheave is 0.30. What is the ratio of tensile forces in the two rope ends?
Select one: a. 1.6 b. 1.2 c. 1.1 d. 2.6
77. In an isolated system it does not change with time when there are no forces acting on the system Select one: a. displacement b. force c. momentum d. position
78. The coefficient of friction between the brake pad and drum is 0.3. Assuming that the beam supporting the cable drum is more than adequate for the loads involved, what load,W, can be held stationary?(Insert question #12) Select one: a. 100 N b. 180 N c. 33 N d. 90 N
79. The elevator in a 12--story building has a mass of 1000 kg. Its maximum velocity and maximum acceleration ar 2 m/s and 1 m/s2, respectively. A passenger with a mass of 75 kg stands on a bathroom scale in the elevator as the elevator ascends at its maximum acceleration. what is the scale reading just as the elevator reaches its maximum velocity? Select one: a. 886 N b. 150 N c. 75 N d. 811 N
80. The braced frame shown is constructed with pin-connected members and supports. All applied forces are horizontal. What is the force in the diagonal member AB?(Insert question #10) Select one: a. 160 N b. 250 N c. 0 d. 200 N
81. An automobile travels on a perfectly horizontal, unbanked circular track of radius r. The coefficient of friction between the tires and the track is 0.3. If the car's velocity is 10 m/s, what is the smallest radius it may travel without skidding? Select one: a. 10 m b. 50 m c. 34 m d. 68 m
82. A 10 kg block is resting on a horizontal circular disk (e.g., turntable) at a radius of 0.5 m form the center. The coefficient of friction between the block and disk is 0.2. the disk begins to rotate with a uniform angular acceleration. What is the minimum angular velocity of the plate that will cause the block to slip? Select one: a. 4.43 rad /s b. 1.98 rad/s c. 3.92 rad /s d. 1.40 rad/s
83. A rigid body is subjected to three concurrent, coplanar forces. What is the minimum number of independent equations that are necessary to establish the equilibrium conditions? Select one: a. 3 b. 2 c. 1 d. 0
84. Two meshing spur gears are arranged such that neither gear is turning and both are in equilibrium. Gear 1 has a radius of 4 cm. Gear 1's shaft carries a torsional moment of 65 N m from an external motor. Gear 2 has a radius of 6 cm. Assuming a 100% transmission efficiency, what torque is transmitted by the shaft of gear 2? Select one: a. 97.5 N m b. 65 N m c. 107 N m d. 101 N m
*85. Determine the force in member AG for the pin-connected truss shown.
Select one: a. 37 500 N (tension) b. 31 500 N (compression) c. 25 000 N (compression) d. 50 000 N (tension)
*86. What are the -and y-coordinates of the centroid of the area?
Select one: a. 3.50 cm ; 5.50 cm b. 3.93 cm ; 4.79 cm c. 4.00 cm ; 5.00 cm d. 3.40 cm ; 5.60 cm
87. An ideal spring is hung vertically from the ceiling. When a 2.0-kg block hangs at rest from it the spring is extended 6.0 cm from its relaxed length. A upward external force is then applied to the block to move it upward a distance of 16 cm. While the block is moving upward the work done by the spring is Select one: a. -2.09 J b. -1.75 J c. -1.05 J d. -0.52 J
88. Refer to a particle for which the position is defined by s(t) = 2 sin tj [tin radians]. What is the magnitude of the particle's acceleration at t = π? Select one: a. 2.00 b. 2.56 c. 4.00 d. 3.14
89. A satellite is placed in a circular orbit to observe the surface of Mars from an altitude of 144 km. The equatorial radius of Mars is 3397 km. If the speed of the satellite is 3480 m/s, what is the magnitude of the centripetal acceleration of the satellite? Select one: a. 2.99 m/s2 b. 2.17 m/s2 c. 3.42 m/s2 d. 2.60 m/s2
*91. The location of a particle moving in the -y plane is given by the parametric equations = t2 + 4t and y =(1/4)t4 - 60t, where and y are in meters and t is in seconds. What is the particles velocity at t = 4 s? Select one: a. 16.0 m/s b. 8.95 m/s c. 11.3 m/s d. 12.6 m/s
92. The two cables shown carry a 100 N vertical load. What is the tension in cable AB?
Select one: a. 80 N b. 60 N c. 50 N d. 40 N
*93. The pedestrian bridge truss shown has 10 000 N applied loads at points I,J, and K. What is the force in member IJ?
Select one: a. 18 000 N (compression) b. 8000 N (tension) c. 8000 N (compression) d. 18 000 N (tension)
94. A projectile whose mass is 10 g is fired directly upward from ground level with an initial velocity of 1000 m/s. Neglect the effects of air resistance, what will be speed of the projectile when it impacts the ground? Select one: a. 981 m/s b. 1414 m/s c. 1000 m/s d. 707 m/s
*95. The 285 kg plate shown is suspended horizontally by four wires of equal length, and the tension of each wire is equal. If wire D snaps, the tension in the three remaining wires is redistributed. Determined the tension in each wire after wire D snaps.
Select one: a. TA /= 699 N ; TB /= 699 N ; TC /= 1398 N b. TA /=1398 N ; TB /= 1398 N ; TC /= 0 N c. TA / d. TA /= 1398 N ; TB /= 0 N ; TC /= 1398 N e. TA = 699 N ; TB = 1398 N ; TC = 699 N
96. Identify the zero-force members in the truss shown.
Select one: a. AB,GH,GI,HI,EG b. AB,GH c. AB,HI,GI d. GI,HI
*97. Three coplanar forces are in equilibrium on the surface of a steel plate, as shown. Two of the forces are known to be 10 N. What is the angle, , of the third force?
Select one: a. 82.5o b. 26.7o c. 53.8o d. 7.50o
*98. A signal arm carries two traffic signals and a sign, as shown. The signals and sign are rigidly attached to the arm. Each traffic signal is 0.2 m2 in frontal area and weighs 210 N. The sign weighs 60 N/m2. The design wind pressure is 575 N/m2. The maximum moment that the connection between the arm and pole can withstand due to wind is 6000 N m , and the maximum permitted moment due to the loads is 4000 N m. As limited by moment on the connection, what is the maximum area of the sign?
Select one: a. 5.65 m2 b. 1.15 m2 c. 8.03 m2 d. 1.04 m2
99. A uniform thin disk has a radius of 30 cm and a mass of 2 kg. A constant force of 10 N is applied tangentially at a varying, but unknown, distance from the center of the disk. The disk accelerates about its axis at 3t rad/s2. What is the distance from the center of the disk at which the force is applied at t = 12 s?
Select one: a. 108 cm b. 32.4 cm c. 54.0 cm d. 36.0 cm
100. Four bolts (not shown) connect support A to the ground. Determine the design load for each of the four bolts.
Select one: a. 300 000N (tension) b. 50 000 N (tension) c. 37 500 N (tension) d. 350 000 N (tension)
101. A projectile has an initial velocity of 110 m/s and a launch angle of 20o from the horizontal. The surrounding terrain is level, and air friction is to be disregarded. What is the horizontal distance travelled by the projectile? Select one: a. 1200 m b. 80 m c. 800 m d. 400 m
102. QUEST032::Figure shows a uniform disk, with mass M = 2.5 kg and radius R = 20 cm, mounted on a fixed horizontal axle. A block with mass m = 1.2 kg hangs from a massless cord that is wrapped around the rim of the disk. Find the acceleration of the falling block. The cord does not slip, and there is no friction at the axle.
Select one: a. -4.8 m/s2 b. 4.8 m/s2 c. -3.2 m/s2 d. 3.2 m/s2
103. Find the velocity of block A 2.5 s after the blocks are released.
Select one: a. 3.5 m/s b. 0 m/s c. 4.4 m/s d. 4.9 m/s
104. A box has uniform density and a total weight of 600 N. It is suspended by three equal-length cables, AE,BE, and CE, as shown. Point E is 0.5 m directly above the center of the box's top surface. What is the tension in cable CE?
Select one: a. 400 N b. 200 N c. 128 N d. 370 N
105. The five forces shown act at point A. What is the magnitude of the resultant force? Select one:
a. 234 N b. 182 N c. 156 N d. 32 N
106. Determine the reaction at point C.
Select one: a. -417 N (down) b. + 83 N (down) c. +333 N (up) d. -83 N (down)
107. A 50 kg cylinder has a height of 3 m and a radius of 50 cm. The cylinder sits on the -axis and is oriented with its major axis parallel to the y-axis. What is the mass moment of inertia about the -axis? Select one: a. 41 kg mo b. 16 kg mo c. 150 kg mo d. 4.1 kg mo
*108. A rope is wrapped over a 6 cm diameter pipe to support a bucket of tools being lowered. The coefficient of friction between the rope and the pipe is 0.20. The combined mass of bucket and tools is 100 kg. What is the range of force that can be applied to the free end of the rope such that the bucket remains stationary?
Select one: a. 720 N to 1360 N b. 560 N to 1360 N c. 720 N to 1510 N d. 670 N to 1440 N
*109. A model T-beam is constructed from five balsa boards. Refer to the illustration for the as-built dimensions. What is the approximate centroidal moment of inertia about an axis parallel to the -axis?
Select one: a. 660 cm4 b. 600 cm4 c. 500 cm4 d. 560 cm4
110. A disk with a diameter of 0.6 m is rigidly attached at point B to 1 kg rod 1 m in length. The rod-disk combination rotates around point A. What is the mass moment of inertia about A for the combination?
Select one: a. 0.56 kg m2 b. 0.87 kg m2 c. 047 kg m2 d. 3.7 kg m2
111. A 2.5-kg ball and a 5.0-kg ball have an elastic collision. Before the collision, the 2.5-kg ball was at rest and the other ball had a speed of 3.5 m/s. What is the kinetic energy of the 2.5-kg ball after the collision?_____" Select one: a. 27 J b. 14 J c. 5.8 J d. 8.1 J
112. A spring has a constant of 50 N/m. The spring is hung vertically, and a mass is attached to its end. The spring end displaces 30 cm from its equilibrium position. The same mass is removed from the first spring and attached to the end of a second (different) spring, and the displacement is 25 cm. What is the spring constant of the second spring? Select one: a. 63 N/m b. 56 N/m c. 60 N/m d. 46 N/m
113. What is the polar moment of nertia about the composite centroid?
Select one: a. 1530 m4 b. 1020 m4 c. 2410 m4 d. 1260 m4
114. An area is a composite of a semicircle and a triangle, as shown. What is the distance between the -axis an dthe centroid?
Select one: a. 3.46 mm b. 3.68 mm c. 5.35 mm d. 4.28 mm
115. Find the velocity at position B.
Select one: a. 9.83 m/s b. 6.95 m/s c. 2.41 m/s d. 4.12 m/s
*116. In the structure shown, the beam is pinned at point B. Point E is a roller support. The beam is loaded with a distributed load from point A to point B of 400 N/m, a 500 N m couple at point C, and a vertical 900 N force at point D. If the distributed load and the vertical load are removed and replaced with a vertical upward force of 1700 N at point F, what moment at point F would be necessary to keep the reaction at point E at the same?.
Select one: a. -6500 N m (counter clockwise) b. 12 000 N m (clockwise) c. 3500 N m (clockwise) d. -9000 N m (counter clockwise)
117. What is the magnitude of the forces that constitute the moment?
Select one: a. 8.3 N b. 6.3 N c. 4.2 N d. 2.1 N
*118. A 28 mm diameter circuit area is reduced by a 21 mm diameter circular area that is cut out. Both circles are tangent to the y-axis. What is the moment of inertia about the y-axis of the remaining (shaded) area?
Select one:
a. 103 000 mm4 b. 330 000 mm4 c. 1340 000 mm4 d. 20 600 mm4
119. What is the coefficient of friction between the plane and the block? Select one: a. 0.15 b. 0.78 c. 0.22 d. 0.85
*120. Two blocks are connected over a pulley. The mass of block A is 10 kg and the coefficient of kinetic friction between A and the incline is 0.20. Angle θ of the incline is 30°. Block A slides down the incline at constant speed. What is the mass of block B
Select one: a. 2.1 kg b. 5.0 kg c. 3.7 kg d. 3.3 kg
121. The center of gravity of a roller coaster car is 0.5 m above the rails. The rails are 1 m part. What is the maximum speed that the car can travel around an unbanked curve of radius 15 m without the inner wheel losing contact with the top of the rail? Select one: a. 8.58 m/s b. 17.2 m/s c. 24.2 m/s d. 12.1 m/s
122. Two particles are fixed to an x axis : particle 1 of charge -2.00 x 10-7 C at x=6.00 cm and particle 2 of charge +2.00 x 10-7 C at x=21.0 cm. Midway between the particles, what is their net electric field in unit vector notation? Select one: a. -3.20 X 105 N/C i ̂ b. -6.39 x 105 N/C i ̂ c. -4.00 x 105 N/C i ̂ d. -2.40 x 105 N/C i ̂
123. Find the force in member DE.
Select one: a. 8800 N (tension) b. 10 000 N (compression) c. 0 d. 6300 N (tension)
124. A force is defined by the vector A = 3.5 i - 1.5 j + 2.0k. i,j, and k are unit vectors in the -,y-, and z-direction, respectively. What is the angle that the force makes with the positive y-axis?
Select one: a. 69.6o b. 20.4o c. 110o d. 66.4o
125. The position (in radians) of a car travelling around a curve is described by the following function of time (in seconds). What is the angular velocity at t = 3 s? Select one: a. -16 rad/s b. -4 rad /s c. 15 rad/s d. 11 rad/s
*126. A stone is dropped down a well. 2.47 s after the stone is released, a splash is heard. If the velocity of sound in air is 342 m/s, find the distance to the surface of the water in the well. Select one: a. 38 m b. 2.4 m c. 28 m d. 7.2 m
127. The maximum kinetic and potential energy of a spring when stretched at various displacements is equal to Select one: a. 1 /2Kx2 b. mg c. –mx2 d. None of the choices
128. A car with a mass of 1530 kg tows a trailer (mass of 200 kg) at 100 km/h. What is the total momentum of the car-trailer combination? Select one: a. 46 000 N s b. 22 N s c. 37 N s d. 48 000 N s
129. If W = 80 N, what are the reactions at point A?
Select one: a. 27 i N - 100j N b. -27 i N - 100j N c. 0 i N+ 180j N d. 0 i N + 100j N
130. A parallel-plate air capacitor is made from two plates 0.070 m square, spaced 6.3 mm apart. What must the potential difference between the plates be to produce an energy density of 0.037 J/m3? Select one: a. 470 V b. 370V
c. 270 V d. 570 V
131. Block d side freely on the homogeneous bar and experiences a gravitation force of 50 N. Homogeneous bar AB experiences a gravitational force of 25 N. What is the force between the bar and block D?
Select one: a. 21 N b. 19 N c. 15 N d. 28 N
132. A motorist is travelling at 70 km/h when he sees a traffic light in an intersection 250 m ahead turn red. The light's red cycle is 15 s. The motorist wants to enter the intersection without stopping his vehicle, just as the light turns green. If the vehicle decelerates at a constant rate of 0.5 m/s2, what will be its speed when the light turns green? Select one: a. 52 km/h b. 63 km/h c. 43 km/h d. 59 km/h
133. Which of the structures shown is statically determinant and stable? Select one:
a. I and III b. I and IV c. I only d. II and III
134. The rotor of a steam turbine is rotating at 7200 rev/min when the steam supply is suddenly cut off. The rotor decelerates at a constant rate and comes to rest after 5 min. What was the angular deceleration of the rotor? Select one: a. 2.5 rad/s2 b. 5.8 rad/s2 c. 0.40 rad/s2 d. 16 rad/s2
135. A 6 kg sphere moving at 3m/s collides with a 10 kg sphere traveling 2.5 m/s in the same direction. The 6 kg ball comes to a complete stop after the collision. What is the new velocity of the 10 kg ball immediately after the collision? Select one: a. 0.5 m/s b. 5.5 m/s c. 2.8 m/s d. 4.3 m/s
136. Which type of load is not resisted by a pinned joint? Select one: a. compression b. moment c. shear d. axial
137. What is the resultant R of the system of forces shown?
Select one:
a.
b.
c.
d.
138. If the frame is pinned so that it rotates around point B, what counteracting moment must be applied at point A to put the frame in equilibrium?
Select one: a. 1150 N m b. 1240 N m c. 650 N m d. 890 N m
140. An isolated parallel-plate capacitor (not connected to a battery) has a charge of Q = 2.9 × 10-5 C. The separation between the plates initially is d = 1.2 mm, and for this separation the capacitance is 3.1 × 10-11 F. Calculate the work that must be done to pull the plates apart until their separation becomes 5.3 mm, if the charge on the plates remains constant. The capacitor plates are in a vacuum Select one: a. 5 J b. 46 J c. 48 J
d. 47 J
141. A wheel with a radius of 80 cm rolls along a flat surface at 3 m/s. If arc AB on the wheels perimeter measures 90o, what is the velocity of point A when point B contacts the ground? Select one: a. 3.39 m/s b. 3.75 m/s c. 4.24 m/s d. 3.00 m/s
142. A disk-shaped body with a 4 cm radius has a 320 N force acting through the center at an unknown angle , and two 40 N loads acting as a couple, as shown. All of these forces are removed and replaced by a single 320 N force at point B, parallel to the original 320 N force. What is the angle ?
Select one: a. 0o b. 7.6o c. 15o d.
29o
143. A block with a mass of 150 kg is pulled over a horizontal surface by a cable guided by a pulley as shown. The coefficients of friction are 0.58 between the surface and the block, and 0.90 between the cable and the pulley. What force, F, must be applied to the cable for the block to move?
Select one: a. 2500 N b. 900 N c. 1700 N d. 2200 N
144. Refer to a particle whose curvilinear motions is represented by the equation s = 20t + 4t2 - 3t3. What is the acceleration of the particle at time t = 0? Select one:
a. 2 m/s2 b. 5 m/s2 c. 3 m/s2 d. 8 m/s2
145. A playground merry-go-round has a radius of 3.0m and a rotational inertia of 600 kg m2.It is initially spinning at 0.80 rad/s when a 20-kg child crawls from the center to the rim. When the child reaches the rim the angular velocity of the merry-go-round is Select one: a. 0.80 rad/s b. 1.04 rad/s c. 0.73 rad/s d. 0.62 rad/s
146. Traffic travels at 100 km/h around a banked high-way curve with a radius of 1000m. What banking angle is necessary such that friction will not be required to resist the centrifugal force? Select one: a. 46o b. 2.8o c. 4.5o d. 1.4o
147. Resolve the 300 N force into two components, one along line p and the other along line Q. (F, P and Q are coplanar.) Select one: a. Fp = 126 N ; FQ /= 272 N b. Fp = 226 N ; FQ = 135 N c. Fp = 186 N ; FQ /= 232 N d. Fp = 226 N ; FQ /=212 N
148. Determine the force in member BC. Select one: a. 1000 N (compression) b. 2500 N (tension) c. 1500 N (tension) d. 0
149. The statement “An object with constant momentum is in a state of equilibrium” is Select one: a. Insufficient data b. False c. Partly true d. True
150. The velocity (in m/s) of a falling ball is described by the equation v = 32 + t + 6t2. What is the acceleration at time t = 2 s? Select one: a. 25 m/s2 b. 9.8 m/s2 c. 58 m/s2 d. 32 m/s2
151. A particle has a tangential acceleration of at (represented by the equation given) when it moves around a point in a curve with instantaneous radius of 1 m. What is the instantaneous angular velocity ( in rad/s) of the particle? Select one: a. t2+cost+ 3 In |csct| b. t2-cost+ 3 In |csct| c. t2-cost+ 3 In |sint| d. t2+cost+ 3 In |sint|
*152. A golfer on level ground attempts to drive a golf ball across a 50 m wide pond, hitting the ball so that it travels initially at 25 m/s. The ball travels at an initial angle of 45o to the horizontal plane. How far will the golf ball travel, and does it clear the pond? Select one: a. 58 m; the ball clears the pond b. 32 n; the ball does not clear the pond c. 45 m; the ball does not clear the pond d. 64 m ; the ball clears the pond
153. A 2000 kg car pulls a 500 kg trailer. The car and trailer accelerates from 50 km/h to 75 km/h at rate of 1 m/s2. What linear impulse does the car impart on the trailer? Select one: a. 12 500 N s b. 3470 N s c. 17400 N s d. 8680 N s
154. What are R1 and R2? (insert question #11)
Select one: a. 1250 N b. 4000 N c. R1 /
d. 1000 N; R2 / e. R1 / f. R1 / g. 3750 N; R2 / h. 1250 N
155. QUEST029::Two blocks are connected over a pulley. The mass of block A is 10 kg and the coefficient of kinetic friction between A and the incline is 0.20. Angle θ of the incline is 30°. Block A slides down the incline at constant speed. What is the mass of block B
Select one: a. 3.7 kg b. 3.3 kg c. 2.1 kg d. 5.0 kg
156. A mass of 10 kg is suspended from a vertical spring with a spring constant of 10 N/m. What is the period of vibration? Select one: a. 6.3 s b. 0.30 s c. 0.60 s d. 0.90 s
157. What is the reaction at point A for the simply supported beam shown? Select one:
a. b. None of the choices
c.
d.
158. A bent beam is acted upon by a moment and several concentrated forces, as shown. Find the missing force F and distance that will maintain equilibrium on the member shown.
Select one: a. F = 20 N ; = 0.2 m b. F = 10 N ; = 0.6 m c. F = 20 N ; = 0.4 m d. F = 5 N ; = 0.8 m
159. A car travels around an unbanked 50 m radius curve without skidding. The coefficient of friction between the tires and road is 0.3. What is the car's maximum speed? Select one: a. 54 km/h b. 25 km/h c. 44 km/h d. 14 km/h
160. A force that is directed away or towards the origin Select one: a. Frictional force b. Uniform force c. Central force d. Normal force
*161. The small piston of a hydraulic lift has a cross-sectional area of 3.00 cm2, and its large piston has a cross-sectional area of 200 cm2 . What force must be applied to the small piston for it to raise a load of 15.0 kN? (In service stations, this force is usually generated with the use of compressed air.) Select one: a. 1.00 X 102 N b. 40 N c. 1.00 x 103 N d. 225 N 162. A disk rolls along a flat surface at a constant speed of 10 m/s. Its diameter is 0.5 m. At a particular instant, point P on the edge of the disk is 45o from the horizontal. What is the velocity of point P at that instant? Select one: a. 10.0 m/s15.0 m/s16.2 m/s b. 18.5 m/s
163. For the reciprocating pump shown, the radius of the crank is r = 0.3 m, and the rotational speed is n = 350 rpm. What is the tangential velocity of point A on the crank corresponding to an angle of = 35o from the horizontal? Select one: a. 10 m/s
b. 1.1 m/s c. 0 m/s d. 11 m/s
164. What is the -coordinate of the centroid of the curve y = cos between = 0 = /2? a. pi/4 b. pi/6 c. 1 – 2/pi d. pi/2 – 1
*165. Two particles are fixed to an x axis : particle 1 of charge -2.00 x 10-7 C at x=6.00 cm and particle 2 of charge +2.00 x 10-7 C at x=21.0 cm. Midway between the particles, what is their net electric field in unit vector notation? Select one: a. -6.39 x 105 N/C i ̂ b. -2.40 x 105 N/C i ̂ c. -4.00 x 105 N/C i ̂ d. -3.20 X 105 N/C i ̂
166. Refer to a particle whose curvilinear motions is represented by the equation s = 20t + 4t2 - 3t3. What is the maximum speed reached by the particle? Select one: a. 34.6 m/s b. 27.9 m/s c. 48.0 m/s d. 21.8 m/s
*167. A torsional pendulum consists of a 5 kg uniform disk with a diameter of 50 cm attached at its center to a rod 1.5 m in length. The torsional spring constant is 0.625 N.m/rad. Disregarding the mass of the rod, what is the natural frequency of the torsional pendulum? Select one: a. 1.0 rad/s b. 1.4 rad/s c. 1.2 rad/s d. 2.0 rad/s
168. The position (in radians) of a car travelling around a curve is described by the following function of time (in seconds). What is the angular acceleration at t = 5 s? Select one: a. 4 rad/s2 b. 26 rad/s2 c. 30 rad/s2 d. 6 rad/s2
*169. A particle starting from rest experience an acceleration of 3 m/s2 for 2 s. The particle then returned to rest in a distance of 8 m. Assuming all accelerations were uniform, what was the total time elapsed for the particles motion? a. 5.33 s b. 4.67 s
c. 4.00 s d 2.67 s
*170. A wheel with a radius of 0.75 m starts from rest and accelerates clockwise. The angular acceleration (in rad/s²) of the wheel is defined by a α = 6t - 4. What is the resultant linear acceleration of a point on the wheel rim at t = 2 s?
a. b. c. d.
13 m/s2 12 m/s2 6 m/s2 18 m/s2
*171. "If the angle of inclination is 45°, how far has the block travelled after 4 s? a. b. c. d.
6m 1.5 m 3m 12 m
*172. The loading shown causes a counter clockwise moment of 20 N m at the support. Calculate the value of force F.
a. 42.6 N down b. 37.5 down c. 25.0 N up d. 26.7 up *173. "A 3500 kg car accelerates from rest. The constant forward tractive force of the car is 1000 N, and the constant drag force is 150 N. What distance will the car travel in 3 s?" a. 1.1m b. 0.19 m c. 1.3 m d. 15 m *174. A 3 kg disk with a diameter of 0.6 m is rigidly attached at point B to 1 kg rod 1 m in length. The rod-disk combination rotates around point A. What is the mass moment of inertia about A for the combination a. 3.7 kgm2 b. 0.47 kgm2 c. 0.56 kgm2 d. 0.87 kgm2 *175. What are the x- and y-coordinated of the centroid of the perimeter line?
a. 1.0 cm ; 4.0 cm b. 3.0 cm ; 3.8 cm c. 3.0 cm ; 3.7 cm d. 1.0 cm ; 3.8 cm
