    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 as shown in the figure. If the origin of the coordinate system is taken at the mass of 1 kg, the (x, y) co-ordinates of the centre of mass are A

(1 m,75 m)

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B

(2 m,75 m)

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C

(3 m,75 m)

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D

(4 m,75 m)

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Solution

## The correct option is A (1 m,75 m) The (x, y) co-ordinates of masses 1 kg, 2 kg, 3 kg and 4 kg respectively are (0, 0), (2 m, 0), (2 m, 2 m), (0, 2 m). The (x, y) co-ordinates of the centre of mass are given by xCM=1×0+2×2+3×2+4×01+2+3+4=1 myCM=1×0+2×0+3×2+4×21+2+3+4=75 m Hence, the correct choice is (a).  Suggest Corrections  0    Join BYJU'S Learning Program
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