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

Options

A. 5 m
B. 3.5 m
C. 4.5 m
D. 4 m

Answer

A

Explanation

The x-coordinate of the centre of mass is `X_(CM) = (m_(1) x_(1) + m_(2) x_(2))/(m_(1) + m_(2))= (0.4 xx 2 + 7 xx 0.6)/(0.4 + 0.6) = 5` m