Q.

Four particles, each of mass 1kg, are placed at the corners of a square OABC of side 1m. ‘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’)

Moderate

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a

i→ +j→

b

( i→+j→)/2

c

i→-j→

d

i→-j→2

answer is 2.

(Detailed Solution Below)

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Detailed Solution

xcm=∑i=14mixi∑i=1i=4 here the position of the masses are (0,0),(1,0), (1,1), and (0,1) similarly ycm

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