The density of a rod gradually decreases from one end to the other. It is pivoted at an end so that it can move about a vertical axis through the pivot. A horizontal force F is applied on the free end in a direction perpendicular to the rod. The quantities, that do not depend on which end of the rod is pivoted, are

We know, torque is given by



Where


f= force


l = distance from the center of the axis of rotation.


Hence, only torque will not have any effect of which end of the rod is pivoted.

1