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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

(6, 6)

B

(3, 3)

C

(1, 1)

D

(2, 2)

Text Solution

Verified by Experts

The correct Answer is:
D
The coordinate of the centre of mass,
`(x,y)=((m_(1)x_(1)+m_(2)x_(2)+m_(3)x_(3))/(m_(1)+m_(2)+m_(3)),(m_(1)y_(1)+m_(2)y_(2)+m_(3)y_(3))/(m_(1)+m_(2)+m_(3)))`
`=((m+2m+3m)/(3m),(m+2m+3m)/(3m))`
`=((6m)/(3m),(6m)/(3m)=(2,2)`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-ROTATIONAL MOTION'-PRACTICE EXERCISE (Exercise 2 (MISCELLANEOUS PROBLEMS))
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