A disc rotating about its axis withangular ...

Systems of Particles and Rotational Motion

Question : 28 of 33

Marks: +1, -0

A disc rotating about its axis withangular speed

ω_0

is placed (withoutany translational push) on a perfectlyfrictionless table. The radius of the discis R. What are the linear velocities of thepoints A, B and C on the disc shown in thefigure.

Solution:

Using the relation

v=r \omega,

we get

For point

A, v_{A}=R \omega_{0}

along

A X

For point

B, v_{B}=R \omega_{0}

, along

B X'

For point

C, v_{C}= ( {R}/{2} ) \omega_{0}

parallel to

A X

The disc will not rotate, because it is placed on a perfectly frictionless table. Without friction, rolling is not possible.

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