Answered: Show explicitly that the time rate of…

Show explicitly that the time rate of decrease of the total energy is equal to minus the powerdissipated by the damping force

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Question

A one-dimensional mass-on-a-spring oscillator is damped by a damping force proportional to the velocity of the mass. Show explicitly that the time rate of decrease of the total energy is equal to minus the powerdissipated by the damping force. b)If the oscillator is critically damped, show that it can never pass through the equilibrium position more than once.c)If the oscillator is overdamped, show that it can never pass through the equilibrium position more than once

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