Question

A rod of length $l$ and mass $m$ hinged at one end is released from rest from vertical position as shown. The angular velocity of the rod in the position shown is:

• A. $\frac{g}{l}$
• B. $\frac{g}{l}\sin \theta$
• C. $\sqrt{\frac{3g\cos \theta }{l}}$
• D. $\sqrt{\frac{6g{\sin }^2\left(\theta /2\right)}{l}}$

Answer 1

The correct option is D $\sqrt{\frac{6g{\sin }^2\left(\theta /2\right)}{l}}$

Since the reaction force at the height is not doing any work, total mechanical energy is conserved.