3 Questions around this concept.
A block of mass $m$ is placed on a rotating platform at a distance r from the axis of rotation. What should be the maximum angular velocity to avoid skidding of the block [ take $\mu=$ the coefficient between the block and rotating platform]
A block of mass m is kept on the edge of the horizontal turn table of radius R
Turn table is rotating with constant angular velocity w . coefficient of friction is . If the block is
just about to move find angular velocity w of the turn table

Centrifugal force $\leq$ Force of friction
$m \omega^2 r \leq \mu m g$
$\therefore \omega_{\max }=\sqrt{\frac{\mu g}{r}}=$ lt is the maximum angular velocity of rotation of the platform, so that object will not skid on it.
$\omega=$ Angular velocity
$r=$ radius
$\mu=$ coefficient of friction
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