TS EAMCET · Physics · Rotational Motion
A body is rolling without slipping on a horizontal plane. If the rotational kinetic energy of the body \(50 \%\) of its total kinetic energy, then the body is
- A Hollow sphere
- B Solid sphere
- C Solid cylinder
- D Thin circular ring
Answer & Solution
Correct Answer
(A) Hollow sphere
Step-by-step Solution
Detailed explanation
For without slipping \(\mathbf{v}=\mathbf{r} \omega\) Total energy, \(\mathrm{E}=\frac{1}{2} \mathrm{I} \omega^2+\frac{1}{2} \mathrm{~m} \mathrm{v}^2\) \[ =\frac{1}{2} \mathrm{I}^2+\frac{1}{2} \mathrm{mr}^2 \omega^2 \] Rotational kinetic energy,…
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