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Concepts Of Physics MCQ Edition [Volume 1]PhysicsRotational Mechanics

A cylinder is rolling on a horizontal plane surface. Given that the speed of its centre is 25 m/s , determine the speed of its highest point.

Options

  1. A50 m/s
  2. B25 m/s
  3. C25 2 m/s
  4. D0 m/s

Correct answer

A. 50 m/s

Step-by-step solution

For a cylinder rolling on a horizontal surface, the condition for pure rolling is v_ cm = R . The velocity of the highest point is the vector sum of the translational velocity of the centre of mass and the tangential velocity due to rotation. At the highest point, both velocities are in the same direction. v_ top = v_ cm + R = 2v_ cm Given v_ cm = 25 m/s , substituting the value: v_ top = 2 25 = 50 m/s

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