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{"ops":[{"insert":"An object of mass 0.2 kg is hung from a spring whose spring constant is 80 N\/m. The object is subject to a resistive force given by -bx, where x is its velocity in meters per second. \n(a) Set up differential equation of motion for free oscillations of the system. \n(b) If the damped frequency is \u221a3\/2 of the undamped frequency, what is the value of the constant b? \n(c)What is the Q of the system? \n(d) After 2 seconds, what does the average energy decay to? (in terms of the initial average energy).\n"}]}
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