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Question

# Four Particles of masses 1 kg, 2 kg, 3 kg, and 4 kg are placed at the corners of a square of side 2 m in the x – y plane in anticlockwise sense. If the origin of the co-ordinate system is taken at the mass of 1 kg, the (x, y) co-ordinates of the centre of mass, expressed in 'metre' are

A
(1,75)
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B
(2,75)
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C
(3,75)
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D
(4,75)
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Solution

## The correct option is A (1,75) The (x, y) co - ordinates of masses 1 kg, 2kg, 3kg and 4kg respectively are (x1=0,y1=0),(x2=2m,y2=0),(x3=2m,y3=2m),(x4=0,y4=2m). The (x, y) co-ordinates of the centre of mass are xCM=1kg×0+2kg×2m+3kg×2m+4kg×01kg+2kg+3kg+4kg=1m yCM=1kg×0+2kg×0+3kg×2m+4kg×2m1kg+2kg+3kg+4kg=75m

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