Question

One end of a uniform rod having mass $m$ and length $l$ is hinged. The rod is placed on a smooth horizontal surface and rotates on it's about the hinged end at a uniform angular velocity $\omega$. The force exerted by the hinge on the rod has a horizontal component.

• A. $m{\omega }^{2}l$
• B. zero
• C. $mg$
• D. $\frac{1}{2}m{\omega }^{2}l$

Answer 1

The correct option is A $m{\omega }^{2}l$

The force exerted by the hinge on the rod is centripetal force and is given by:

$F=mr{\omega }^2$

$⟹F=ml{\omega }^2$