Questions
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 . 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 (t) will vary with time t as
detailed solution
Correct option is B
The angular momentum (Z) of the system is conserved, i.e. L= Iω = constant When the tortoise walks along a chord, it first moves closer to the center and then away from the center. Hence, M.I. first decreases and then increases. As a result, ω will first increase and then decrease. Also the change in ω will be non-linear function of time.Talk to our academic expert!
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A boy stands over the centre of a horizontal platform which is rotating freely with a speed of 2 revolutions/s about a vertical axis through the centre of the platform and straight up through the boy. He holds 2 kg masses in each of his hands close to his body. The. combined moment of inertia of the system is 1 kgmetre2. The boy now stretches his arms so as to hold the masses far from his body. In this situation, the moment of inertia of the system increases to 2kgmetre2. The kinetic energy of the system in the latter case as compared with that in the previous case will
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