Three identical sphere, each of mass 1 kg are kept as shown in figure, touching each other with thei

Question

Three identical sphere, each of mass 1 kg are kept as shown in figure, touching each other with their centres on a straight line. If their centres are marked $\mathrm{P}, \mathrm{Q}, \mathrm{R}$ respectively, the distance of centre of mass of the system from $P$ is\

Professor PC Thomas Classes · Answer

$X_{c m}=\frac{\left(M_Pight)(0)+\left(M_Qight)(P Q)+\left(M_Right)(P R)}{M_P+M_Q+M_R}$

$=\frac{1 	imes 0+1 	imes P Q+1 	imes P R}{1+1+1}=\frac{P Q+P R}{3}$