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JEE Main2012PhysicsRotational MotionActual

A solid sphere having mass m and radius r rolls down an inclined plane. Then its kinetic energy is

Options

  1. A5 7 rotational and 2 7 translational
  2. B2 7 rotational and 5 7 translational
  3. C2 5 rotational and 3 5 translational
  4. D1 2 rotational and 1 2 translational

Correct answer

B. 2 7 rotational and 5 7 translational

Step-by-step solution

aligned & K . E_ rotational = 1 2 I ^2 & = 1 2 2 5 r^2 d^2 ( I_ Solid sphere = 2 5 m r^2 ) & K E_ translational = 1 2 m v^2 & K E_ rotational K E_ translational = 2 5 aligned Hence option (b) is correct

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