Question

Two points of a rod move with velocity `3 v` and `v` perpendicular to the rod and in the same direction. Separated by a distance `r`. Then the angular velocity of the rod is :
A. `(3v)/r`
B. `(4r)/r`
C. `(5v)/r`
D. `(2v)/r`

Answer 1

Correct Answer - D
`omega_(rod)=(v_(rel))_(_|_)/r`
`(V_(rel))_(_|_)` is the velocity of one point w.r.t other perpendicular to rod.
`omega_(rod)=(3v-v)/r` and `r` being the distance between the points `omega_(rod)=(2v)/r`