A system consisting of two masses connected by massless rod lies along the x-axis. A 0.4 kg mass is

Question

A system consisting of two masses connected by massless rod lies along the x-axis. A 0.4 kg mass is at distance $x=2$ while a 0.6 kg mass is at distance $x=7$. The $x$-coordinate of the centre of mass is\

Professor PC Thomas Classes · Answer

\  The $x$-coordinate of the centre of mass is\ $\mathrm{X}_{\mathrm{cm}}=\frac{\mathrm{m}_{1} \mathrm{x}_{1}+\mathrm{m}_{2} \mathrm{x}_{2}}{\mathrm{~m}_{1}+\mathrm{m}_{2}}$\ $\mathrm{X}_{\mathrm{cm}}=\frac{0.4 	imes 2+7 	imes 0.6}{0.4+0.6}=5 \mathrm{~m}$\