Question

A uniform rod AB of length $\ell$ is free to rotate about a horizontal axis passing through A. The rod is released from rest from the horizontal position. If the rod gets broken at midpoint C when it becomes vertical, then just after breaking of the rod.

• A. Angular velocity of upper part starts to decrease while that of lower part remains constant
• B. Angular velocity of upper part starts to decrease while that of lower part starts to increase
• C. Angular velocity of both the parts is identical
• D. Angular velocity of lower part becomes equal to zero

Answer 1

Answer: (A), (C)

The correct options are
A Angular velocity of upper part starts to decrease while that of lower part remains constant
C Angular velocity of both the parts is identical

When the rod gets broken at its mid point, when it becomes vertical , then just after braking of the rod.

Angular velocity of upper part starts to decreases. While that of lower point remains constant and angular velocity of both the part is identical.

Hence, this question has A and C as answers.