If an object of mass, \(M\), is rotating about an axis through its center of mass, and the center of mass of is moving with speed, \(v_{CM}\), relative to an inertial frame of reference, then the tota...If an object of mass, \(M\), is rotating about an axis through its center of mass, and the center of mass of is moving with speed, \(v_{CM}\), relative to an inertial frame of reference, then the total kinetic energy of the object is given by: \[\begin{aligned} K_{tot} = K_{rot} + K_{trans} = \frac{1}{2}I_{CM}\omega^2+ \frac{1}{2}Mv_{CM}^2\end{aligned}\] where, \(\omega\), is the angular speed of the object about the center of mass, and, \(I_{CM}\), is the moment of inertia of the object about …
