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 ω$$0$$ When the tortoise moves along a chord of platform with a constant velocity (with$$ respect to the $$platform), the angular velocity of the platform ω(t) will vary with time t as

Question

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 ω$$0$$ When the tortoise moves along a chord of platform with a constant velocity (with$$ respect to the $$platform), the angular velocity of the platform ω(t) will vary with time t as

Infinity Learn · Accepted Answer

Since no external torque is acting on the system , its angular momentum remains conserved  . So Iω $$=$$ constant .During motion along chord, the distance of tortoise from centre decreases initially and then increases' So, the moment of inertia first decreases and then increases. Hence ω initially increase and then decrease. Also variation in ω is $$non-linear$$.

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material