Comprehension Type A circular disc of mass ' \( 2 \mathrm{~m} \) ' ...

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Comprehension Type
A circular disc of mass ' \( 2 \mathrm{~m} \) ' and radius ' \( 3 \mathrm{r} \) ' is resting on a
\( \mathrm{P} \) flat frictionless surface. Another circular disc of mass ' \( m \) '

W and radius ' \( 2 r \) ' moving with a velocity ' \( u \) ' hits the first disc as shown in the figure. The collision is elastic.
What is the tangential component of final velocity of the smaller disc?
(1) \( \mathrm{u} \)
(2) \( \frac{u}{2} \)
(3) \( \frac{3 u}{5} \)
(4) \( \frac{4 u}{5} \)
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