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Byju's Answer
Standard XII
Physics
Angular Velocity
A particle is...
Question

A particle is at rest with respect to the wall of an inverted cone rotating with uniform angular velocity ω about its central axis. The surface between the particle and the wall is smooth. Regarding the displacement of particle along the surface up or down, the equilibrium of particle is

240817_306764b0fd334b33b744ea2bf54e8dcd.png

A
stable
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B
unstable
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C
neutral
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D
None of these
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Solution

The correct option is B unstable
The equilibrium of particle in the givenscenario is unstable, because if it is
displaced, it would always slide down as there will be no force on the particle
(surface between particle and the wall is smooth), apart from the downward
gravitational pull and only torque is one due to the gravitational force

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