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12.4: Summary
https://phys.libretexts.org/Courses/Berea_College/Introductory_Physics%3A_Berea_College/12%3A_Rotational_Energy_and_Momentum/12.04%3A_Summary
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 …

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