Determine the natural frequency and the damping ratio

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1. Using X as the generalized coordinate system in the picture below, find the differential equation governing free vibration of the system with free body diagram method.

a. Determine the natural frequency and the damping ratio.

b. State whiter the system is under damped, critically damped, or over damped.

c. Determine x(t) for the given initial conditions.

Reference no: EM13717259

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