The stepped disk in Figure 4.32 is subject to the moment [ M(t)=1-e^{-t}, t geq 0 ]

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The stepped disk in Figure 4.32 is subject to the moment

\[ M(t)=1-e^{-t}, t \geq 0 \]

The spring is unstretched when \(\theta=0\). Derive the equation of motion and solve for the response \(\theta(t)\) assuming zero initial conditions and an underdamped system.

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Mechanical Vibration Analysis, Uncertainties, And Control

ISBN: 9781498753012

4th Edition

Authors: Haym Benaroya, Mark L Nagurka, Seon Mi Han

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