Question

A rod of mass $m$ and length $\ell$ lying on a smooth horizontal table is rotating in horizontal plane about a vertical axis passing through one end of rod as shown in the figure. Force applied by hinge on the rod is :

• A. $m{w}^2\ell$
• B. $\frac{m{\ell }^2\omega }{2}$
• C. $\frac{m{\omega }^2\ell }{2}$
• D. $\frac{m{\omega }^2\ell }{4}$

Answer 1

The correct option is C $\frac{m{\omega }^2\ell }{2}$

$F_H=\frac{m{\omega }^{2}l}{2}$

Hence,

option $\left(C\right)$ is correct answer.