Rotational Motion Question 135
Question: Two points of a rod move with velocities $3v$ and $v$ perpendicular to the rod and in the same direction separated by a distance ‘$r$ ‘. The angular velocity of the rod is
Options:
A) $\frac{3v}{r}$
B) $\frac{4v}{r}$
C) $\frac{5v}{r}$
D) $\frac{2v}{r}$
Show Answer
Answer:
Correct Answer: D
Solution:
[d]
$ \omega _{\text {rod }}=\frac{\left(V _{\text {rel }}\right) \perp}{r}\left(V _{\text {rel }}\right) \perp$ is me velocity of one point w.r.t.
other perpendicular to rod.
$\omega _{r o d}=\frac{3 v-v}{r}$ And ‘r’ being the distance between the points.
$\omega _{r o d}=\frac{2 v}{r} $
