Chapter 7b (Final KG by Moments About Keel, Exercise - 7)

J@GTROV ‚ < CNEGA HL F^ MIMOERZ GFI_R HOOA

J`gptor ‚< Cnega HL fy Mimoets gfiut Hooa Oxorjnso -<

Geswor 7

Vomgrhs

\onl`t (t)

HL (m)

Mimoets (tm)

Z`np

6444

2.6

0244

Aigbs

:44

6

344 3 44

Aigbs

644

:.6

324

Aigbs

?44

7

?44 ? 44

Ritga

:444

Cnega HL =

74724

Ritga Mimoets Ritga \onl`t

Cnega HL =

74724 :444

Cnega HL =

:.:04

Cnega HL ic t`o vossoa ns :.:04m

Geswor 6

Vomgrhs

\onl`t (t)

HL (m)

Mimoets (tm)

Z`np

:444

:.>

77<44

Aigbs ne EI.7 A@

644

:

344

Aigbs ie bojh

:44

3.2

7>64

Aigbs ne Ei.: RB

7?4

?.6

<04

Aigbs ne Ei.2 A@

:?4

2

7244

Tglo 7 ic 74

J@GTROV ‚ < CNEGA HL F^ MIMOERZ GFI_R HOOA

Ritga Cnega HL =

2444

73244

Ritga Mimoets Ritga \onl`t

Cnega HL =

73244 2444

Cnega HL =

2.744

Cnega HL ic t`o vossoa ns 2.744m

Geswor :

Vomgrhs

\onl`t (t)

HL (m)

Mimoets (tm)

Z`np

74444

3

34444

Bnsj`grlos

-6?4

:

-
Bnsj`grlos

-7?4

2

-344

Ritga

>344

Cnega HL =

?03?4

Ritga Mimoets Ritga \onl`t

Cnega HL =

?03?4 >344

Cnega HL =

3.74>

Cnega HL ic t`o vossoa ns 3.74> m

Tglo 6 ic 74

J@GTROV ‚ < CNEGA HL F^ MIMOERZ GFI_R HOOA

Geswor 2

Vomgrhs

\onl`t (t)

HL (m)

Mimoets (tm)

Z`np

76444

2.:

?7344

Bnsj`grlos Ei.7 A@

-644

6.3

-?64

Bnsj`grlos Ei.6 RB

-6?4

:.2

-0?4

Bnsj`grlos Ei.: A@

-7444

2

-2444

Bnsj`grlos _B

-??4

0

-2244

Ritga

74444

Cnega HL =

270:4

Ritga Mimoets Ritga \onl`t

Cnega HL =

270:4 74444

Cnega HL =

2.70:

Cnega HL ic t`o vossoa ns 2.70:m

Geswor ? Vomgrhs

\onl`t (t)

HL (m)

Mimoets (tm)

Z`np

6444

:.33

<:64

Aigbs

7?44

?.?

06?4

Aigbs

:?44

2.3

73744

Aigb Fuehors

7?64

4.3

>76

Bnsj`grlos

-6444

6.22

-2004

Jiesumo fuehors

->44

4.2

-:34

Ritga

?364

Cnega HL =

6<:26

Ritga Mimoets Ritga \onl`t

Cnega HL =

6<:26 ?364

Tglo : ic 74

J@GTROV ‚ < CNEGA HL F^ MIMOERZ GFI_R HOOA

Cnega HL =

2.03?

Cnega HL ic t`o vossoa ns 2.03? m

Geswor 3 Aot jgrli ti aigb = x Vomgrhs

\onl`t (t)

HL (m)

Mimoets (tm)

Z`np

:644

3.6

7>024

Aigbs

?644

2.0

62>34

Jgrli ti Aigb

x

74.2

74.2x

Ritga

0244 + x

3.444

22044+74.2x

Cnega HL =

Ritga Mimoets Ritga \onl`t

3.444 =

22044+74.2x 0244 + x

3 * (0244 + x) =

22044+74.2x

?4244 + 3x =

22044+74.2x

?344 = Cnega jgrli ti aigb =

2.244

x

?344.444 2.244

Cnega jgrli ti aigb =

76<6.<:

t

Cnega jgrli ti aigb ns 76<6.<: t

Tglo 2 ic 74

J@GTROV ‚ < CNEGA HL F^ MIMOERZ GFI_R HOOA

Geswor < Aot jgrli ti aigb = x Vomgrhs

\onl`t (t)

HL (m)

Mimoets (tm)

Z`np

6344

2.00

76300

Aigbs

2344

?

6:444

Jgrli ti Aigb

x

74

Ritga

<644 + x

?.774

Cnega HL =

:?300 + 74x

Ritga Mimoets Ritga \onl`t

?.77 =

:?300 + 74x <644 + x

?.77 * (<644 + x) =

:?300 + 74x

:3<>6 + ?.77x

:?300 + 74x

7742 =

2.0>4

Cnega jgrli ti aigb =

x

7742.444 2.0>4

Cnega jgrli ti aigb =

66?.<<

t

Cnega jgrli ti aigb ns 66?.<< t

Geswor 0 Lnvoe;7. 6. :. 2. ?.

Bnsj`grlo wonl`t = 744t Bnspagjomoet ic s`np = 0444t HL ic s`np = 0.6m HL ic wonl`t ie figrb = :m Borrnjh `ogb ns 6?m crim hooa

Tglo ? ic 74

J@GTROV ‚ < CNEGA HL F^ MIMOERZ GFI_R HOOA

HL ic borrnjh = 6?m

Bnspagjomoet = 0444t w = 744t HL = 0.6m

HL = :m

g) HL ic borrnjh HL ic jgrli B↗

= 6?m = -:m = 66m

LL„

=w*b \

LL„

= 744 * 66 0444

LL„ ↗ = 4.6
Nentnga Hl ic s`np = 0.6m =+4.6
f) HL ic s`np HL ic jgrli B↗ LL„

=w*b \-w

LL„

= 744 *?.6 0444 - 744

= 0.6m =-:m = ?.6m

Tglo 3 ic 74

J@GTROV ‚ < CNEGA HL F^ MIMOERZ GFI_R HOOA LL„

= 744 * ?.6 <>44

LL„ ↗ = 4.433m

Nentnga Hl ic s`np = 0.6m =+4.433m LL„ ↗  Cnega HL ic s`np = 0.633m

g. HL ic t`o s`np w`oe borrnjh ancts t`o wonl`t ns 0.2
Geswor > Lnvoe;7. 6. :. 2. ?.

Bnspagjomoet ic s`np = 7?444t HL = <.>m \onl`t ic jgrli aigbob = 644t HL ic uppor bojh = 76m @ogb ic borrnjh = :4m

HL ic borrnjh = :4m

w = 644t Bnspagjomoet = 7?444t HL = 76m HL =<. >m

g) HL ic borrnjh HL ic s`np B↗ LL„

= :4m =-<.>m = 66.7m

=w*b \+w

Tglo < ic 74

J@GTROV ‚ < CNEGA HL F^ MIMOERZ GFI_R HOOA LL„

= 644 * 66.7 7?444 + 644

LL„

= 644 * 66.7 7?644

LL„ ↗ = 4.6>7m

Nentnga Hl ic s`np = <.>m =+4.6>7m LL„ ↗  Cnega HL ic s`np = 0.7>7m

f) HL ic uppor bojh HL ic s`np B ↚  LL„

=w*b \+w

LL„

= 644 * 2.7 7?444 +644

LL„

=

= 76m =-<.>m =2.7m

064 7?644

LL„ ↗ = 4.4?2m

Nentnga Hl ic s`np = <.>m =-4.4?2m LL„ ↗  Cnega HL ic s`np = <.>?2m

g. HL ic t`o s`np w`oe wonl`t ns `gelnel fy t`o borrnjh ns 0.7>7m f. HL ic t`o s`np gctor aigbnel ns <.>?2m

Geswor 74 Lnvoe;7. 6. :. 2. ?.

Bnspagjomoet = 77444t HL ic s`np = <.6m \onl`t ic jgrli s`nctob = 704t HL ic uppor bojh = 76m HL ic aiwor `iab = :m

Tglo 0 ic 74

J@GTROV ‚ < CNEGA HL F^ MIMOERZ GFI_R HOOA

w = 704t Bnspagjomoet = 77444t HL = 76m HL = <.6m HL = :m (g) HL ic `ogvy anct HL ic s`np B↚

= 76m = -<.6m = 2.0m

LL„ = w * b \-w LL„ = 704 * 2.0 77444-704 LL„ = 032 74064 LL„ ↚= 4.404m

Nentnga HL ic t`o vossoa = <.6m =-4.404m LL„ ↚  Cnega HL ic t`o vossoa = <.76m (f) HL ic _ppor bojh HL ic aiwor `iab B↚

= 76m =-:m = >m

LL„ = w * b \ LL„ = 704 * > 77444

Tglo > ic 74

J@GTROV ‚ < CNEGA HL F^ MIMOERZ GFI_R HOOA LL„↚= 4.72
Nentnga HL ic t`o vossoa = <.6m =-4.72
Tglo 74 ic 74