A circular disc rolls down an inclined plane. The ratio of rotational kinetic energy to total kinetic energy is

Question

A circular disc rolls down an inclined plane. The ratio of rotational kinetic energy to total kinetic energy is, 1 2, 1 3, 2 3, 3 4

MARKS App · Accepted Answer

The ratio of rotational kinetic energy to total kinetic energy is K E R K E T = 1 2 I ω 2 1 2 I ω 2 + 1 2 M v 2 The moment of inertia of a ring = 1 2 M R 2 ∴ K E R K E T = 1 2 1 2 M R 2 v R 2 1 2 × 1 2 M R 2 v R 2 + 1 2 M v 2 = 1 2 1 2 M v 2 1 2 1 2 M v 2 + 1 2 M v 2 K E R K E T = 1 3

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