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Q.

Two points of a rod move with velocities 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

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a

3 v/r

b

4 v/r

c

5 v/r

d

2 v/r

answer is D.

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Detailed Solution

ωrod=ωpoint=vrelr Vrel represents the velocity of one point w.r.t. other.  =3v-vr and 'r' being the distance between them.  =2vr
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Two points of a rod move with velocities 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