88_Problem CHAPTER 10

88_Problem CHAPTER 10 - PROBLEM 10.78 The slender rod AB of...

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PROBLEM 10.78 The slender rod AB of negligible mass is attached to two 4-kg blocks A and B that can move freely in the guides shown. Knowing that the constant of the springs is 160 N/m and that the unstretched length of each spring is 150 mm, determine the value of x corresponding to equilibrium. SOLUTION First note () ( ) 22 0.4 0.22 0.4 m yx =− −− ( ) 2 0.4 0.8 0.1116 m xx +− Now, the Potential Energy is 11 0.15 0.15 0.4 AB Vk x k y m g m g y =−+−+ + ( ) 2 2 2 0.15 0.25 0.8 0.1116 kx k x x =−+ + ( ) 2 0.4 0.4 0.8 0.1116 mg mg x x ++ + For Equilibrium ( )
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