A beam is rotating about an axis with an angular velocity (omega). Determine the element (m_{13}) of

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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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