110_Problem CHAPTER 10

110_Problem CHAPTER 10 - PROBLEM 10.93 Two bars are...

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PROBLEM 10.93 Two bars are attached to a single spring of constant k that is unstretched when the bars are vertical. Determine the range of values of P for which the equilibrium of the system is stable in the position shown. SOLUTION First note 2 sin sin 33 LL a θ φ == and sin 3 L s = For small values of and : 2 = 2 21 cos cos 2 VP k s θφ  =+ +   () 2 1 2cos cos2 sin 32 3 PL L k θθ + 2 2sin 2sin 2
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