87_Problem CHAPTER 10

87_Problem CHAPTER 10 - PROBLEM 10.77 A slender rod AB, of...

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PROBLEM 10.77 A slender rod AB , of mass m , is attached to two blocks A and B which can move freely in the guides shown. Knowing that the spring is unstretched when 0 y = , determine the value of y corresponding to equilibrium when 12 kg, 750 mm, and 900 N/m. ml k = == SOLUTION Deflection of spring = s , where 22 s lyl = +− ds y dy ly = Potential Energy: 2 1 y Vk s W =− 1 2 dV ds ks W dy dy ( ) 1 2 dV y kl y l W dy =+ + 1 1 2 l ky W   +  Equilibrium 1 0: 1 2 dV l W y dy k = + Now ()
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