GEAS Refresher
1. A wood wooden en plan plank k x met meters ers long long has has one one end leaning on top of a vertical wall 1.5 m hig high and the the other ther end resti estin ng on a horizontal ground. Neglecting friction, nd x if the force (parallel to the plank of 1!! N is need to pull a "!! N #lock up the plank. a. $ m #. 5 m c. " m d. % m &. A 5!!'kg 5!!'kg #lock #lock is resti resting ng on a %! %! incline inclined d plane with a ) * !.%. +ind the reuired for force - actin ting horizo rizont nta all that hat will prevent the #lock from sliding. a. 1!&! N #. 11$! N c. "&%$ N d. 5&!5 N %. A "! "!'k 'kg g #loc #lock k is rest restin ing g on an incl inclin ined ed plane making an angle of &! from the horizontal. /f the coe0cient of friction is !.$!, determine the force parallel to the incl inclin ine e that that must must #e appl applie ied d to caus cause e impending motion down the plane. a. #. 2& c. & d. 2 ". A 5!'kg 5!'kg #loc #lock k of wood wood rest rest on the the top of the smooth plane whose length is % m, and whose altitude is !.2 m. 3ow long will it take for the #lock to slide to the #ottom of the plane when released4 a. 1.51 secs #. &."1 se secs c. &.51 secs d. &.1" se secs 5. A simpl simpl suppo supported rted #eam is is 5 m in length length.. /t car carries ries a unif unifor orm m distr istri# i#ut uted ed load load including its own weight of %!! Nm and a concentrated load of 1!! N, & m from the left end. +ind the reactions if reaction A is at the left end and reaction 6 at the right end. a. 7A * 21! N, 76 * !! N #. 7A * !! N, 76 * 2!! N c. 7A * 21! N, 76 * 2! N d. 7A * !! N, 76 * 21! N
$. +rom rom a speed speed of 5 5 kph, kph, a car car decelera decelerates tes at the rate of 5!! mmin along a straight path. 3ow far in meters, will it travel in "5 sec4 a. 85 #. 81 c. 8 d. 8% . 9ith ith a star starti ting ng spee speed d of %! kph kph at poin pointt A, a car accelera accelerates tes uniform uniforml l.. After After 12 minutes, it reaches point 6, &1 km from A. +ind the acceleration of the car. a. !.1&$ ms& #. !.!5 !.!5$ $& ms ms& c. !.!&!$ m ms& d. %."& m ms& 2. An elevat elevator or weigh weighing ing &,!!! &,!!! l# attai attains ns an uoward velocit of 1$ fps in " secs with unform acceleration. 9hat is the tension in the supporting ca#les4 a. 1,85! l# #. &,15! l# l# c. &,"85 l# d. &,&5! l# l# 8. A shot shot is red red at an angl angle e of "5 wit with h a horiz horizont ontal al and the veloci velocit t of %!! fts. fts. +ind ind the the heig height ht and and the the rang range e of the the pro:ectile. a. $! $!! ! ft ft and and &5 &5!! !! ft #. ! !! ! ft ft and and &2 &2!! !! ft c. 1! 1!!! !! ft and and "2! "2!! ! ft ft d. 5 5! ! ft ft and and %! %!!! !! ft 1!.A coin coin is tossed tossed vertic verticall all upwar upward d from from the ground at a velocit of 1& ms. 3ow long will the coin touch the ground4 a. "."5 se sec #. %."5 se sec c. &."5 sec d. 1."5 se sec 11.A #all is thrown from a tower %! m high a#ove the ground with a velocit of %!! ms at &! from the horizontal. 3ow long will the #all hit the ground4 a. &".& #. &%.& c. &1.& d. &&.& 1&.A plane is ;ing horizontall %5! kph at an altitude of "&! m. At this instant, a #om# #om# is relea released sed.. 3ow far horizo horizonta ntall ll
from this point will the #om# hit the ground4 a. $&5 m #. 5 m c. 25 m d. 8!! m 1%.alculate the stress. a. !.&! k-a #. !.15 k-a c. !.!5 k-a d. !.1! k-a 1./f the ultimate shear strength of a steel plate is "&,!!! psi, what force is necessar to punch a !.5'inch diameter hole in a !.$&5 inch thick plate4 a. $%,!!! #. $2,!2! c. $1,25! d. $$,2!! 12.A single #olt is used to lap :oint two steel #ars together.
#olt reuired if the allowa#le shearing stress is ! =-a. a. 1 mm #. 12 mm c. 18 mm d. &! mm 18.1!! g of water is mixed to 15! g of alcohol (@ * 8! kgm%. >alculate the specic volume of the solution. a. !.2& ccg #. !.22 ccg c. !.$% ccg d. 1.&! ccg &!.A 1$ gram mass is moving at %! cmsec while a " gram mass is moving in an opposite direction at 5! cmsec.
&".3ow much does a %! l# f weigh on the moon4 ravitational acceleration in the moon is 5." fts & and in earth is %&.& fts&4 a. &.! l#f #. %.& l#f c. %." l#f d. 5.!8$ l#f &5.A $! ton rail car moving at 1 mihr is instantaneousl coupled to a stationar "! ton rail car. 9hat is the speed of the coupled cars4 a. !.22 mph #. 1 mph c. !.$ mph d. !." mph &$.A rm #orrows - &,!!!.!! for $ ears at 2B. At the end of $ ears, it renews the loan for the amount due plus - &,!!! more for & ears at 2B. 9hat is the lump sum due4 a. - 5,$8.$ #. - $,28.82 c. - $,!%".$$ d. - 5,222. &.A sum of - 1,!!!.!! is invested now and left for 2 ears, at which time the principal is withdrawn.
#. - 582,528.!! c. - $8",1%2.!! d. - 5&,.!! %!.=r. 7ankine #ought a piece of propert for - 1!!,!!!.!! downpament and 1! deferred semi'annual paments of 2,!!!.!! starting three ears from now. /f the interest rate is 1&B compounded semi'annuall, what is the present worth of the propert4 a. - 1"%,888.!2 #. - 1"2,555.!& c. - 15&,""".!5 d. - 1$$,222.!1 %1./f mone is worth 2B, determine the present value of a perpetuit of - 1,!!! paa#le annuall with the rst pament due at the end of 5 ears. a. - 8,12.2 #. - 8,12.2 c. - 8,&&.$" d. - 8,&&."$ %&.A man is left with an inheritance from his father. 3e has an option to receive -&= at the end of 1! earsD however he wishes to receive the mone at the end of each ear for 5 ears. /f the interest rate is 2B, how much would he receive ever ear4 a. - "!!,!!!.!! #. - 5%&,5%%.!! c. - &%&,!&!.!! d. - &!!,!!!.!! %%.
%".An euipment costing - &5!,!!! has an estimated life of 15 ears with a #ook value of - %!,!!! at the end of the period. >ompute its #ook value after 1! ears using sinking fund method assuming i*2B. a. - 1!%,%%%.%!
#. - 1&5,$$$.$ c. - 1%2,5$.$! d. - 1%&,$&&.$! %5.A compan manufactures electric motors has a production capacit of &!! motors a month.
