Answer to Question #200003 in Physics for cayyy

Question

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.

(a) Set up differential equation of motion for free oscillations of the system.

(b) If the damped frequency is √3/2 of the undamped frequency, what is the value of the constant b?

(c)What is the Q of the system?

(d) After 2 seconds, what does the average energy decay to? (in terms of the initial average energy).

Answer 1

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