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115_Problem CHAPTER 10

# 115_Problem CHAPTER 10 - PROBLEM 10.97 Bars AB and BC each...

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PROBLEM 10.97 Bars AB and BC , each of length l and of negligible weight, are attached to two springs, each of constant k . The springs are undeformed and the system is in equilibrium when 1 2 0. θ θ = = Determine the range of values of P for which the equilibrium position is stable. SOLUTION Have sin B x l θ = 1 2 sin sin θ θ = + C x l l 1 2 cos cos θ θ = + C y l l 2 2 1 1 2 2 C B C V Py kx kx = + + or ( ) ( ) 2 2 2 1 2 1 1 2 1 cos cos sin sin sin 2 θ θ θ θ θ = + + + + V Pl kl For small values of 1 θ and 2 : θ 2 2 1 1 2 2 1 1 2 2 1 1 sin , sin , cos 1 , cos 1 2 2 θ θ θ θ θ θ θ θ
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