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Q. 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 the direction perpendicular to the rod. The quantities, that do not depend on which end of the rod is pivoted, are:

System of Particles and Rotational Motion

Solution:

For this rod as linear density varies from one end to another its moment of inertia also changes if its pivoted end is changes so all physical quantities that depend upon moment of inertia will change. Hence only option (D) is correct.