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COMEDK2012PhysicsRotational Motion

A ring rolls down an inclined plane. The ratio of the rotational kinetic energy to translational kinetic energy is

Options

  1. A1: 3
  2. B1: 1
  3. C3: 1
  4. D2: 1

Correct answer

B. 1: 1

Step-by-step solution

The rotational kinetic energy of a ring is K_ R = 1 2 I ² For a ring, I =M R² and = v R K_ R = 1 2 (M R² ) ( v R )²= 1 2 M v² Also, translational kinetic energy, K_ T = 1 2 M v² K_ R =K_ T or K_ R : K_ T =1: 1

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