Question

A rod can rotate about a fixed vertical axis. The mass is non-uniformly distributed along the length of the rod. A horizontal force of the constant magnitude and always perpendicular to the rod is applied at the end. Which of the following quantity (after one rotation) will not depend on information that, through which end the axis passes? (Assuming initial angular velocity to be zero)

• A. Angular momenturn
• B. Kinetic energy
• C. Angular velocity
• D. None of these

Answer 1

The correct option is B Kinetic energy

$K.E=\frac{1}{2}{I}_0{\omega }^2$

$\therefore$ Kinetic energy is independent of the end the axis passes.

Hence, the answer is Kinetic energy.