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Concepts Of Physics MCQ Edition [Volume 1]PhysicsRotational Mechanics

The descending pulley shown in the figure has a radius 20 cm and moment of inertia 0.20 kg-m ^2 . The fixed pulley is light and the horizontal plane frictionless. Find the acceleration of the block if its mass is 1.0 kg .

Options

  1. A10 m/s ^2
  2. B5 m/s ^2
  3. C8 m/s ^2
  4. D12 m/s ^2

Correct answer

A. 10 m/s ^2

Step-by-step solution

Apply Newton's second law to the block and rotational dynamics to the descending pulley. Using = I with = a/r and the string constraint, the acceleration evaluates to 10 m/s ^2 .

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