TS EAMCET · Physics · Rotational Motion
A solid sphere of mass 2 kg and radius 0.5 m is rolling without slipping on a horizontal surface. The ratio of the rotational and translational kinetic energies of the sphere is
- A \(3: 5\)
- B \(2: 5\)
- C \(4: 5\)
- D \(7: 5\)
Answer & Solution
Correct Answer
(B) \(2: 5\)
Step-by-step Solution
Detailed explanation
\(I_{sphere} = \frac{2}{5}mR^2\) \(K_{rot} = \frac{1}{2}I\omega^2 = \frac{1}{2}\left(\frac{2}{5}mR^2\right)\left(\frac{v}{R}\right)^2 = \frac{1}{5}mv^2\) \(K_{trans} = \frac{1}{2}mv^2\)…
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