362_Physics ProblemsTechnical Physics

362_Physics ProblemsTechnical Physics - 364 Static...

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364 Static Equilibrium and Elasticity Additional Problems *P12.38 (a) The beam is perpendicular to the wall, since 3 4 5 222 += . Then sin θ = 4 m 5 m ; 53 1 .. (b) τ hinge = 0: +− = T sin 32 5 0 0 m N 1 0 m af a f T = ° 2500 53 1 104 10 3 Nm 3 m N sin . . (c) x T k == × × = 0126 3 . . N 8.25 10 N m m 3 The cable is 5.126 m long. From the law of cosines, 45 1 2 632 3 5 1 2 6 35 1 2 64 23 5126 51 2 22 2 1 2 =+ = c o s cos . . . a fa f a f α 4 m 5.126 m 3 m FIG. P12.38 (d) From the law of sines, the angle the hinge makes with the wall satisfies sin . sin . 5126 51 2 4 m = ° sin . sin . . . = = = 099858 0 3 51 2 250 0 998 0 107 10 3 hinge N 1 0 m 5 8 N T T a f a f (e) x = × × = 0129 3 . . N m 3 = cos . . . 1 2 1 2 94 23 5129 51 1 a f (f) Now the answers are self-consistent: sin . sin . . sin . . . . . = ° = °− = = 5129 51 1 4 0998 3 511 250 0 998 0 01295 51 1 3 m m 51 N 1 0 m 5 1 N m T T x a f a fa f P12.39 Let n A and n B be the normal forces at the points of
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .

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