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) $\frac{2v}{r}$
Show Answer
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} $