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FREE VIBRATIONS WITH VISCOUS DAMPING.
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Figure (a) shows a spring mass dash pot system.

enter image description here

The spring and dash pot are in parallel.

Let, k = stiffness of spring, N/m

m = mass of the body, kg

c = damping coefficient, Ns/m

x = displacement of body from mean position

$\dot{x}$ = velocity of the body. …

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