Systems of Particles and Rotational Motion

Question : 28

Total: 33

A disc rotating about its axis withangular speed ω0 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=rω, we get
For point A,vA=Rω0 along AX
For point B,vB=Rω0 , along BX′
For point C,vC=(

)ω0 parallel to AX,
The disc will not rotate, because it is placed on a perfectly frictionless table. Without friction, rolling is not possible.

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