- Question Answer
- A circular platform is free to rotate in a horizontal plane about a vertical axis passing through its center
. A circular platform is free to rotate in a horizontal plane about a vertical axis passing through its center
A tortoise is sitting at the edge of the platform. Now, the platform is given an angular velocity w0. When the tortoise moves along a chord of the platform with a constant velocity (with respect to the platform), the angular velocity of the platform w (t) will vary with time t as
Sol: The angular momentum (L) of the system is conserved i.e. L = Iw = 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, w will first increase and then decrease. Also the change in
will be non-linear function of time.