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Four particles of mass 5,3,2,4 kg are at...

Four particles of mass `5,3,2,4 kg` are at the points `(1,6),(-1,5),(2,-3),(-1,-4)` . Find the coordinates of their centre of mass.

Text Solution

Verified by Experts

The correct Answer is:
`(1//7,23//14)`
`X_(cm)=(m_(1)x_(1)+m_(2)x_(2)+m_(3)x_(3)+m_(4)x_(4))/(m_(1)+m_(2)+m_(3)+m_(4))`
`=(5xx1+3xx(-1)+2xx(2)+4xx(-1))/(5+3+2+4)=(2)/(14)=(1)/(7)`
`Y_(cm)=(m_(1)y_(1)+m_(2)y_(2)+m_(3)y_(3)+m_(4)y_(4))/(m_(1)+m_(2)+m_(3)+m_(4))`
`=(5xx(6)+3xx5+2xx(-3)+4xx(-4))/(5+3+2+4)`
`=(23)/(14)`
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