Rotation 5 Question 18
30. The loss of kinetic energy during the above process is
(a) $\frac{I \omega^{2}}{2}$
(b) $\frac{I \omega^{2}}{3}$
(c) $\frac{I \omega^{2}}{4}$
(d) $\frac{I \omega^{2}}{6}$
$(2007,4$ M)
Integer Answer Type Question
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Answer:
Correct Answer: 30. (b)
Solution:
- Loss of kinetic energy $=K _i-K _f$
$=\frac{1}{2} I(2 \omega)^{2}+\frac{1}{2}(2 I)(\omega)^{2}-\frac{1}{2}(3 I) \frac{4}{3} \omega^{2}=\frac{1}{3} I \omega^{2}$