Skidding of Object on A Rotating Platform
Category : JEE Main & Advanced
On a rotating platform, to avoid the skidding of an object (mass m) placed at a distance r from axis of rotation, the centripetal force should be provided by force of friction.
Centripetal force \[\le \] Force of friction
\[m{{\omega }^{2}}r\le \mu mg\]
\[\therefore \,\,{{\omega }_{\max }}=\sqrt{(\mu g/r)},\]
Hence maximum angular velocity of rotation of the platform is \[\sqrt{(\mu g/r)}\,,\] so that object will not skid on it.
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