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A type of damper frequently used on automobile crankshafts is shown in Figure. J represents a solid disk free to spin on the shaft, and the space between the disk and case is filled with a silicone oil of coefficient of viscosity μ.

The damping action results from any relative motion between the two. Derive an equation for the damping torque exerted by the disk on the case due to a relative velocity of w.

1207_damping torque.jpg

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