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A mass weighing 16lbs stretches a spring 4 feet. The medium offers a damping force that...

A mass weighing 16lbs stretches a spring 4 feet. The medium offers a damping force that is numerically equal to 3 times the instantaneous velocity. The mass is intially released from rest from a point 3 feet above the equilibrium position. Find the equation of motion. Also, will the mass pass through the equilibrium position? If yes, find the time when it occurs.

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Expert Solution

The given problem is an example of damped harmonic motion. First derived the equation of motion for general damped harmonic motion then substitute the given values in problem to obtain the equation.

genius_generous answered 1 year ago
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