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NEET · Physics · STD 11 - 6. system of particles and rotational motion
The angular momentum of a rigid body of mass m about an axis is \(n\) times the linear momentum \((P)\) of the body. Total kinetic energy of the rigid body is
- A \(\frac{ P ^2\left[1+ n ^2\right]}{2 m }\)
- B \(\frac{ n ^2 P ^2}{2 m }\)
- C \(n ^2 P ^2 \times 2 m\)
- D \(\frac{ P ^2}{2}\left(\frac{ n ^2}{ I }+\frac{1}{ m }\right)\)
Answer & Solution
Correct Answer
(D) \(\frac{ P ^2}{2}\left(\frac{ n ^2}{ I }+\frac{1}{ m }\right)\)
Step-by-step Solution
Detailed explanation
\(L = nP\) \(KE = KE _{ R }+ KE _{ T }\)
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