Question: A beam is rotating about an axis with an angular velocity (omega). Determine the element (m_{13}) of the local mass matrix for a beam element

A beam is rotating about an axis with an angular velocity $\omega$. Determine the element $m_{13}$ of the local mass matrix for a beam element of length $l$, including the kinetic energy due to the rotation of the beam. The left end of the element is a distance $r$ from the axis of rotation.

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