A circular platform is free to rotate in a horizontal plane about a vertical axis passing through its centre. A tortoise is sitting at the edge of the platform. Now the platform is given an angular velocity `omega_(0)`. When the tortoise move along a chord of the platform with a constant velocity (with respect to the platform),

Options

A.
B.
C.
D.

Answer

B

Explanation

The angular momentum (L) of the system is conserved i.e. `L = l omega`= constant
When the tortoise walks along a chord, it first moves closer to the centre and then away from the centre. Hence, M.I. first decreases and then increases. As a result, `omega` will first increase adn then decrease. Also the change in `omega` will be non-linear function of time.