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.

Define centre of mass. Write down its mathematical form. Two particles

1.	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.
Answer» Solution :`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`