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A system consists of three particles in ...

A system consists of three particles in motion as shown. Find the velocity of `c.m.`

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Taking the velocity directed towards right as positive,
`v_(c.m.) = (m_(1) v_(1) + m_(2) v_(2) + m_(3) v_(3))/(m_(1) + m_(2) + m_(3))`
` = (mv_(0) + 3m(2v_(0)) + 2m(-v_(0)))/(m + 3m + 2m = 6m) = ( 5m v_(0))/(6m) = ( 5v_(0))/(6)`
i.e. `c.m`. is moving towards right with velocity `(5v_(0))/(6)`.
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