111_Problem CHAPTER 10

111_Problem CHAPTER 10 - PROBLEM 10.94 Bar AC is attached...

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PROBLEM 10.94 Bar AC is attached to a hinge at A and to a spring of constant k that is undeformed when the bar is vertical. Knowing that the spring can act in either tension or compression, determine the range of values of P for which the equilibrium of the system is stable in the position shown. SOLUTION Consider a small disturbance of the system defined by the angle . θ Have 2s i n s i n C xa a φ == For small : 2 = Now, the Potential Energy is 2 1 2 B E Vk x P y =+ where
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