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:

Question

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:, 5 a 12 , 5 b 12, 5 a 3 , 5 b 3, 2 a 3 , 2 b 3, 3 a 4 , 3 b 4

MARKS App · Accepted Answer

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 b 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 a 16 3 M 4 = 5 12 b

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