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JEE Main20198 Apr 2019Evening ShiftPhysicsCenter of Mass, Momentum and CollisionActual

A uniform rectangular thin sheet A B C D of mass M has length a and breadth b , as shown in the figure. If the shaded portion H B G O is cut-off, the coordinates of the centre of mass of the remaining portion will be:

Options

  1. A5 a 12 , 5 b 12
  2. B5 a 3 , 5 b 3
  3. C2 a 3 , 2 b 3
  4. D3 a 4 , 3 b 4

Correct answer

A. 5 a 12 , 5 b 12

Step-by-step solution

If the total mass of object mass M then the mass removed part will be M 4 . X C M = M · a 2 - M 4 3 a 4 M - M 4 = M a 2 - 3 M a 16 3 M 4 = 5 12 a Y C M = M · b 2 - M 4 3 b 4 M - M 4 = M b 2 - 3 M b 16 3 M 4 = 5 12 b

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