Question

A uniform thin rod of length $l$ is standing on a smooth horizontal surface. A slight disturbance causes the lower end to slip to the smooth surface and the rod starts falling. Based on this information mark the correct option.

• A. The center of mass will move along a straight line.
• B. The path followed by the end of the rod which is in contact with the ground is circular.
• C. the path followed by the end of the rod (which is not in contact with the ground) is circular
• D. The angular velocity of the rod when it is about to hit about to hit the ground is $\sqrt{\frac{3g}{2l}}$

Answer 1

The correct option is A The center of mass will move along a straight line.

Force of center of mass is acting along axis so during motion of rod motion of center of mass is along y-axis.

Initially there is no horizontal velocity of center of mass so at any time there is no motion of center of mass along y axis.

So Path of center of mass will be straight line.