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A system consists of 3 particles each of...

A system consists of 3 particles each of mass 'm' are located at (1, 1) (2, 2) and (3, 3). The co-ordinates of the centre of mass are

A

(1,1)

B

(2,2)

C

(3,3)

D

(4,4)

Text Solution

Verified by Experts

The correct Answer is:
B
The co-ordinates of the centre of mass are
`X_(cm)=(m_(1)x_(1)+m_(2)x_(2)+m_(3)x_(3))/(m_(2)+m_(2)+m_(3))`
`=(m xx 1+mxx2+m xx 3)/(m+m+m)=2`
Similarly `Y_(cm)=(m xx 1 + m xx 2+m xx 3)/(3m)=2`
`therefore` The co-ordinates of the C.M. are (2,2).
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