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KVPY2013PhysicsRotational Motion

A solid sphere rolls without slipping, first horizontal and then up to a point X at height h on an inclined plane before rolling down, as shown. The initial horizontal speed of the sphere is

Options

  1. A10 gh / 7
  2. B7 g h / 5
  3. C5 g h / 7
  4. D2 g h

Correct answer

A. 10 gh / 7

Step-by-step solution

m g h= 1 2 m v²+ 1 2 2 5 m R² v² R² m g h= 7 10 m v²v= 10 g h 7

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