Find the velocity of centre of mass of the system of two moving particles of mass m and 2m, as shown in the figures (i), (ii) and (iii).

Find the velocity of centre of mass of the system of two moving partic

1.	Find the velocity of centre of mass of the system of two moving particles of mass m and 2m, as shown in the figures (i), (ii) and (iii).
Answer» Solution :Referring to the equation `vecv_(cm) = (summ_(1)vecv_(1))/(summ_(1))` we have, (i) `vecv_(cm) =((m)(2vhati) + (2m)(-VHATI))/(m+2m) =VEC0` (ii) `vecv_(cm) =(m(2vhati ) + 2m(vhati))/(m+2m) =(4v)/3 hati` (iii) `vecv_(cm) = (m(2vhati ) + 2m(vhatj))/(m+2m) =(2V)/3(hati + hatj)`