115_Problem CHAPTER 10

115_Problem CHAPTER - 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

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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 12 0. θθ = = Determine the range of values of P for which the equilibrium position is stable. SOLUTION Have sin B xl θ = sin sin =+ C l cos cos C yl l 22 11 CBC VP y k x k x + or () 2 1 1 cos cos sin sin sin 2  + + +   l k l For small values of 1 and 2 : 2 2 1 1 2 2 sin , sin cos 1 cos 1 ≈≈≈ Then 2 2 1 2  =− + + + + 
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This note was uploaded on 07/11/2011 for the course EGM 2511 taught by Professor Jenkins during the Spring '08 term at University of Florida.

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