Question 552: Centre of Mass and Rotational Motion

Question

The rotational kinetic energy and translational kinetic energy of a rolling body are same, the body is

Accepted Answer

Translational kinetic energy of a ring is:
$$\mathrm{KE}_{	ext {Trans }}=\frac{1}{2} \mathrm{mv}^2$$
Rotational kinetic energy of the ring is:
$$\begin{aligned}
\mathrm{KE}_{	ext {Rolling }} & =\frac{1}{2} \mathrm{I}^2 \
& =\frac{1}{2} \mathrm{mR}^2 \omega^2 \
\mathrm{KE}_{	ext {Rolling }} & =\frac{1}{2} \mathrm{~mv}^2 \quad (\because \mathrm{v=\omega R})
\end{aligned}$$

Answer

disc

Answer

sphere

Answer

cylinder

Answer

ring

Centre of Mass and Rotational Motion

The rotational kinetic energy and translational kinetic energy of a rolling body are same, the body is

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