# Consider $a$ uniform rod of mass $M=4 \mathrm{~m}$ and length $l$ 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:

Question:

Consider $a$ uniform rod of mass $M=4 \mathrm{~m}$ and length $l$ 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:

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

2. $\frac{3}{7} \frac{v}{l}$

3. $\frac{3 \sqrt{2}}{7} \frac{v}{l}$

4. $\frac{4}{7} \frac{v}{l}$

JEE Main Previous Year Single Correct Question of JEE Main from Physics System of Particles and Rotational Motion chapter.

JEE Main Previous Year 8 Jan. 2020

Correct Option: 3

Solution:

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