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A particle of mass m rotates in a circle of radius a with a uniform angular speed ω. It is viewed from a frame rotating about the Z axis with a uniform angular speed ω. The centrifugal force on the particle is(a) mω2a(b) mω20a(c) m((ω + ω0)/2)2a(d) mωω0a. |
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Answer» 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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