133_Problem CHAPTER 10

133_Problem CHAPTER 10 - PROBLEM 10.111 A load W of...

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PROBLEM 10.111 A load W of magnitude 100 lb is applied to the mechanism at C . Knowing that the spring is unstretched when 15 , θ determine the value of corresponding to equilibrium and check that the equilibrium is stable. SOLUTION Have cos C yl = () 2 00 1 15 rad 21 2 C Vk r W y π θθ  =− + = ° =  2 2 0 1 cos 2 kr Wl + 2 0 sin dV kr Wl d Equilibrium 2 0 0: sin 0 dV kr wl d = −− = (1) With 100 lb, 50 lb/in., 20 in., and 5 in. WR l r = == = 2 50 lb/in. 25 in 100 lb 20 in. sin
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