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Define centre of mass. Write down its ma...

Define centre of mass. Write down its mathematical form. Two particles (2 cm, 3 cm ) and ( 4 cm , 5 cm ) respectively. Find the position vector of the centre of mass of the two particles.

Text Solution

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`x= (2xx2+3xx4)/(2+3)=(4+12)/(5)=(16)/(5)=3.2` cm
`y= (2xx3+3xx5)/(2+3)=(6+15)/(5)=4.2` cm
`:.` Position vector of the centre of mass
`vecr=xhati+yhatj=(3.2hati+4.3hatj)cm`
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