Consider a uniform rod of mass length| Rigid Body Dynamics

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JEE MAIN 2020

08-01-20 S1

Question

Consider a uniform rod of mass $M=4 m$ and length I pivoted about its centre. A mass $m$ moving with velocity $v$ making angle $\theta=\frac{\pi}{4}$ to the rod's long axis collides with one end of the rod and sticks to it. The angular speed of the rod-mass system just after the collision is

Select the correct option:

A

$\frac{4}{7} \frac{\mathrm{v}}{\mathrm{I}}$

B

$\frac{3}{7} \frac{\mathrm{v}}{\mathrm{I}}$

C

$\frac{3}{7 \sqrt{2}} \frac{v}{1}$

D

$\frac{3 \sqrt{2}}{7} \frac{v}{1}$

✓ Correct! Well done.

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Solution

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