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:

  1. Loss of kinetic energy $=K _i-K _f$

$=\frac{1}{2} I(2 \omega)^{2}+\frac{1}{2}(2 I)(\omega)^{2}-\frac{1}{2}(3 I) \frac{4}{3} \omega^{2}=\frac{1}{3} I \omega^{2}$



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