A particle of mass m rotates with a uniform angular speed ω. It is viewed from a frame rotating about the Z-axis with a uniform angular speed ω0. The centrifugal force on the particle is
(a) mω2α  (b) mω0 2α (c) m(ω+ω0/2)2α (d) mωω0α                       


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The right answer is (b) mω02a

Explanation:

 The frame of reference is rotating with a uniform angular speed ω0, so it has an acceleration towards the center and it is a non-inertial plane. To apply Newton's Laws in this frame we apply a pseudo force equal to mω0²a to the particle but opposite to the direction of the acceleration of the frame. This pseudo force is the centrifugal force on the particle.

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