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Question

A small punching bag for boxing workouts is approximately the size and weight of a person's head and is suspended from a very short rope or chain. Estimate the natural frequency of oscillations of such a punching bag.

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We are given:

radius of human head/ bagr=10cmdistance from pivot to center of massd=20cm\begin{align*} \text{radius of human head/ bag}\hspace{2 mm}r=10\,\text{cm}\\ \text{distance from pivot to center of mass}\hspace{2 mm}d=20\,\text{cm}\\ \end{align*}

We have to estimate the frequency of the small punching bag the size of the human head.

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