A solid cylindrical object of inertia (m), rotational inertia (I), and radius (R) rolls down a ramp

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A solid cylindrical object of inertia \(m\), rotational inertia \(I\), and radius \(R\) rolls down a ramp that makes an angle \(\theta\) with the horizontal. By how much does the cylinder's energy increase if it is released from rest and its center of mass drops a vertical distance \(h\) ?

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