HW6 - Problem 3-43 Determine the magnitudes of F1 F2 and F3...

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Unformatted text preview: Problem 3-43 Determine the magnitudes of F1, F2, and F3 for equilibrium of the particle. Units Used: kN = 1000 N Given: F4 = 8.5 kN F5 = 2.8 kN a = 15 deg ,6 = 30 deg c = 7 d = 24 Solution: Initial Guesses: F] = 1 kN F; = 1 kN F3 2 1 kN Given —cos(,8) F —c 1 —sin(a) 0 F1 0 +-——22— -d +F3 0 +F4 cos(a) +F5 0 =0 sin(fl) C +612 0 0 o —1 F1 F1 5.60 F2 =Find(F1,F2,F3) F2 ; 8,55. kN F3 «F3» 9:44, Problem 3-66 The pipe is held in place by the Vice If the bolt exerts force P on the pipe in the direction shown, determine the forces F A and F B that the smooth contacts at A and B exerton the pipe. Given: P = 50 lb 0 = 30 deg c = 3 d = 4 Solution: Initial Guesses FA = 1 lb F B = 1 1b Given + I d —>2FX=0; FB—FAsm(€)—P—-—---— =0 c2+d2 +T z Fy= o; ~FA cos(0) + 19(4) = 0 Problem 3-74 If the spring on rope OB has been stretched a distance 6. and fixed in place as shown, determine the tension developed in each of the other three ropes in order to hold the weight W in equilibrium. Rope 0D lies in the x-y plane. 2 Given: a=2ft b=4ft c=3ft d=4ft e=~4ft f=4ft xB=_—2ft yB=—3ft zB=3ft 0=30deg 1 k=20_—b 1n 622m W = 2251b Solution: Initial Guesses FOA = 10 lb F00 = 10 lb FOD = 10 lb Given Foc+ FODsin(0) = 0 x3 + —d 1’)CBZ+yBZ+ZBZ \ld2+e2+f2 YB ———--—-—-—-- +----f——-—Foc+FODcos( «’x32+y32+232 \lct‘2+e2+f2 F0A+k5 ____€__ \/(12+b2+c2 ___:_b___. y/az+bz+c2 F0A+k6 0)=o F0A+k§ Foc—W=0 a 23 + e \Iaz+b2+c2 Jsz+y32+zBZ \ld2+e2+f2 F0A FOA 201.6 Foc = Find(F0A,F0C,F0D) Foc = 215.7 lb F OD FOD 58.6 ...
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This note was uploaded on 04/23/2008 for the course ES 220 taught by Professor Kane during the Fall '06 term at Clarkson University .

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HW6 - Problem 3-43 Determine the magnitudes of F1 F2 and F3...

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