Rotational Motion Question 126

Question: Two points of a rod move with velocities 3$v$ and perpendicular to the rod and in the same direction, separated by a distance ‘r’. Then the angular velocity of the rod is

Options:

A) $\frac{3v}{r}$

B) $\frac{4v}{r}$

C) $\frac{5v}{r}$

D) $\frac{2v}{r}$

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Answer:

Correct Answer: D

Solution:

[d]

$ \omega _{r a d}=\omega _{p o \text { int }}=\left(\frac{v _{r e l}}{r}\right) ;$

$v _{r e l .}$ being the velocity of one point w.r.t. other.

$=\frac{3 v-v}{r}$ and ’ $r$ ’ being the distance between them.$=\frac{2 v}{r} $



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