Asystem consists of two spheres, of mass m and 2m, connected by a rod of negligible mass, as shown above. the system is held at its center of mass with the rod horizontal and released from rest near earth's surface at time t = 0.

Rod will remain horizontal all the time after release.

Explanation:

This is because net torque on the rod about any point in space is zero.

Let assume that distance between the two masses m and 2m is L.

Also m is situated at origin and in positive XY direction.

Then , Center of mass is at L()

 COM =

So let us calculate net torque about hinged point which COM.

As both torque are equal and opposite then net torque =0.

Thus it got balanced.

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