Rotation 2 Question 7

7. A child is standing with folded hands at the centre of a platform rotating about its central axis. The kinetic energy of the system is K. The child now stretches his arms so that the moment of inertia of the system doubles. The kinetic energy of the system now is

(a) 2K

(b) K/2

(c) K/4

(d) 4K

(2004)

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Answer:

Correct Answer: 7. (b)

Solution:

  1. From conservation of angular momentum ( Iω= constant ), angular velocity will remain half. As, K=12Iω2

The rotational kinetic energy will become half.



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