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Four particles, each of mass 1 kg are placed at the corners of a square OABC of side 1 m. ‘O’ is at the origin of the coordinate system. OA and OC are aligned along positive X-axis and positive Y-axis respectively. The position vector of the centre of mass is (in ‘m’)

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a

i^+j^

b

12(i^+j^)

c

(i^−j^)

d

12(i^−j^)

answer is B.

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Detailed Solution

C.O.M. is at the centre of the square.r^cm=xcmi^+ycmj^=12i^+12j^

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Four particles, each of mass 1 kg are placed at the corners of a square OABC of side 1 m. ‘O’ is at the origin of the coordinate system. OA and OC are aligned along positive X-axis and positive Y-axis respectively. The position vector of the centre of mass is (in ‘m’)