2) Find the resultant of the three forces in the figure below (add them together). 2 m 2m F- 350 N 3 m Fc- 400 N F-400 N 2 m 3 m

International Edition---engineering Mechanics: Statics, 4th Edition
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Author:Andrew Pytel And Jaan Kiusalaas
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Chapter6: Beams And Cables
Section: Chapter Questions
Problem 6.18P: For the ladder in Prob. 6.17, find the internal force system acting on section 2, assuming that x <...
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2)
Find the resultant of the three forces in the figure below (add them together).
2 m
2m
E
B
Fg = 350 N
3 m
Fc= 400 N,
F#= 400 N
2 m
3 m
Transcribed Image Text:2) Find the resultant of the three forces in the figure below (add them together). 2 m 2m E B Fg = 350 N 3 m Fc= 400 N, F#= 400 N 2 m 3 m
- 50 + 23 +3W
6.16
ans 2:- the resulatnt of the three torces is the net ettect of the three torces combine together to give the
AB
TAB
Simılozly
AB
single component. to get the resultant of the three forces first calculate unit vectors.
Sol
A 51 + oj +0k
* 07 +21 +3 k
fonce Comboenent along IPB) Y00N
IPAB) - 824.47 +189. 6 J t194.84 ĥ -O
Ac C Gu - Au) î + CCy -Ag)Î + (Cz -A2) R)
- 51 + - 23 + 3-R
Unit vecar Courespon to
AC
Simlanly Calculale
AC Vecor
mogniludu af AC
20 + 3 R
Js?+ 22 +8?
AC
AC
-21 + 07 +3R
51-27 +3k
6.16
- -ST -
DE =
Ju+ 9
-0.811 T - 0.824be Ĵ t .487k
+
3.Go
Goe know foxce olong Ac a
400 N
-0.55 1 +0 t0.883 k
TFel 8S0 N
Pe a -324.41 129.6J + 9y.8 Ř { y00X AC} O
fe 9So x (BE)
9350 x [ -0.s5 î +0] +0.833 h )
19259 + 01 +291 S SR
• 349.36 N - 9
- 3)
Resultant al Pe and Fe ae
FR
add eq O ond ®
* - 648 8T +oĵ + 398. 68
* 7 GI.SO N
A 90 -56.36
33.7
S9.04 -33.7
A 25.34
FR
9o -30.96
)59.04
3
A FE
30.96
56-300
2 fooce
fe a JIFR)? + If?+ 2 FRife) Cas O
J761502 + 849.36 + 2×76) Sd x34936 ×(as 25.34
JHasultant
1087.57N
Transcribed Image Text:- 50 + 23 +3W 6.16 ans 2:- the resulatnt of the three torces is the net ettect of the three torces combine together to give the AB TAB Simılozly AB single component. to get the resultant of the three forces first calculate unit vectors. Sol A 51 + oj +0k * 07 +21 +3 k fonce Comboenent along IPB) Y00N IPAB) - 824.47 +189. 6 J t194.84 ĥ -O Ac C Gu - Au) î + CCy -Ag)Î + (Cz -A2) R) - 51 + - 23 + 3-R Unit vecar Courespon to AC Simlanly Calculale AC Vecor mogniludu af AC 20 + 3 R Js?+ 22 +8? AC AC -21 + 07 +3R 51-27 +3k 6.16 - -ST - DE = Ju+ 9 -0.811 T - 0.824be Ĵ t .487k + 3.Go Goe know foxce olong Ac a 400 N -0.55 1 +0 t0.883 k TFel 8S0 N Pe a -324.41 129.6J + 9y.8 Ř { y00X AC} O fe 9So x (BE) 9350 x [ -0.s5 î +0] +0.833 h ) 19259 + 01 +291 S SR • 349.36 N - 9 - 3) Resultant al Pe and Fe ae FR add eq O ond ® * - 648 8T +oĵ + 398. 68 * 7 GI.SO N A 90 -56.36 33.7 S9.04 -33.7 A 25.34 FR 9o -30.96 )59.04 3 A FE 30.96 56-300 2 fooce fe a JIFR)? + If?+ 2 FRife) Cas O J761502 + 849.36 + 2×76) Sd x34936 ×(as 25.34 JHasultant 1087.57N
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