Q. For a rigid body undergoing combined translational and rotational motion, the total kinetic energy is the sum of translational kinetic energy and what?

संयुक्त अनुवादात्मक और घूर्णी गति से गुजरने वाले एक कठोर शरीर के लिए, कुल गतिज ऊर्जा अनुवादात्मक गतिज ऊर्जा का योग है और क्या है?

Potential energy
संभावित ऊर्जा

Rotational kinetic energy
घूर्णी गतिज ऊर्जा

Elastic energy
लोचदार ऊर्जा

Thermal energy
थर्मल ऊर्जा

When a rigid body moves, its total kinetic energy consists of two parts:

Translational kinetic energy: Due to the motion of the center of mass (CM), given by $\frac{1}{2} M v_{cm}^2$ , where $v_{cm}$ is the velocity of the CM.
Rotational kinetic energy: Due to rotation about the center of mass, given by $\frac{1}{2} I \omega^2$ , where $I$ is the moment of inertia about the CM and $\omega$ is the angular velocity.

Thus, total kinetic energy:

$KE_{\text{total}} = \frac{1}{2} M v_{cm}^2 + \frac{1}{2} I \omega^2$

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