1.

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

Answer»

(6,6)
(3,3)
(1 ,1)
(2 ,2)

Solution :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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