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Rotational Dynamics of a Breaking Rod
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A uniform rod of length L and mass M is rotating with angular velocity ω about an axis perpendicular to the rod passing through its center. The rod then breaks into two equal pieces. Under what condition will each piece maintain the same angular velocity ω?

A

The break must occur exactly at the center of mass

B

The pieces must move apart along the rod’s original axis

C

The pieces must remain in contact after breaking

D

The pieces must have equal moments of inertia

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