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A system consists of 3 particles each of...

A system consists of 3 particles each of mass m located at points (1, 1), (2, 2) and (3, 3). The coordinates 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 coordinates of the centre of mass are
`X_(CM) = (m_(1) x_(1) + m_(2) x_(2) + m_(3) x_(3))/(m_(1) + m_(2) + m_(3)) = (m xx 1 + m xx 2 + m xx 3)/(m + m + m)`
`Y_(CM) = (m_(1) y_(1) + m_(2) y_(2) + m_(3) y_(3))/(m_(1) + m_(2) + m_(3)) = ( m xx 1 + m xx 2 + m xx3)/(m + m + m) = 2`
Hence , the coordinates of centre of mass are (2,2)
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Knowledge Check

  • 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

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