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The angular velocity of a rigid body abo...

The angular velocity of a rigid body about any point of that body is same :

A

only in magnitude

B

only in direction

C

both in magnitude and direction necessarily

D

both in magnitude and direction about some points but not about all points.

Text Solution

Verified by Experts

The correct Answer is:
C
Suppose a rod is having angular velocity `omega` about point `C`.

Choose two points `A` and `B` as shown in the figure. Velocity of `B w.r.t.A =(v+omega r_(1))-(v-omegar_(2))`
`=V_(BA)=omega(r_(1)+r_(2))`
Angular velocity of `B w.r.t.A =(v_(BA))/(AB)`
`=(omega(r_(1)+r_(2)))/(r_(1)+r_(2))=omega Ans (C )`
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