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Concepts Of Physics MCQ Edition [Volume 1]PhysicsRotational Mechanics

A pulley of radius 10 cm and moment of inertia 0.5 kg-m ^2 connects two blocks of masses 4.0 kg and 2.0 kg on inclined planes as shown. The plane beneath the 2.0 kg block has coefficient of friction 0.5 , while the plane beneath the 4.0 kg block is frictionless. Find the acceleration of the 4.0 kg block.

Options

  1. A0.125 m/s ^2
  2. B0.25 m/s ^2
  3. C0.0625 m/s ^2
  4. D0.50 m/s ^2

Correct answer

A. 0.125 m/s ^2

Step-by-step solution

Write the equations of motion for both blocks along their planes, include friction on the 2.0 kg block, and use = I for the pulley with = a/r . Solving the coupled equations gives a = 0.125 m/s ^2 for the 4.0 kg block.

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