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Systems of Particles and Rotational Motion — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsSystems of Particles and Rotational Motion3 Marks
Question
Angular momentum of a system is conserved if its M.I. is changed. Is its rotational K.E. also conserved?
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Answer

Kinetic energy of rotation $=\frac{1}{2}\text{I}\omega^2=\frac{1}{2}(\text{I}\omega)\omega=\frac{1}{2}\text{L}\omega$ $\text{L}=\text{l}\omega$ is constant if moment of inertia (I) of the system changes. It means as I changes, then w also changes to keep $\text{l}\omega$ = constant. Hence K.E. of rotation also changes with the change in I. In other words, rotation K.E. is not conserved.

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