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AIIMS2018PhysicsCenter of Mass, Momentum and Collision

Three bricks each of length L and mass M are arranged as shown from the wall. The distance of the centre of mass of the system from the wall is

Options

  1. AL / 4
  2. BL / 2
  3. C(3 / 2) L
  4. D(11 / 12) L

Correct answer

D. (11 / 12) L

Step-by-step solution

From figure, aligned & x₁= L 2 , x₂= L 2 + L 2 =L & and x₃= L 2 + L 4 + L 2 = 5 4 L & X_ C M = m₁ x₁+m₂ x₂+m₃ x₃ m₁+m₂+m₃ & = M L 2 +M L+M 5 L 4 M+M+M = 11 4 M L 3 M = 11 12 L aligned

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