Masses of 2 kg each are placed at the corners B and A of a rectangular plate ABCD as shown in the figure. A mass of 8 kg has to be placed on the plate so that the centre of mass of the system should be the centre O. Then the mass should be placed at:

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1 m from O on OE

2 m from O on OF

2 m from O on OG

2 m from O on OH

answer is A.

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Detailed Solution

xcm = m1x1+m2x2+m3x3m1+m2+m3⇒0 = 2(-2)+2(-2)+8x22+2+8⇒x3 = 1 m

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