Q5 of 63 Page 112

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


The frame of reference is rotating with a uniform angular speed , so it has an acceleration towards the center and

it’s a non-inertial plane. So, we must apply a pseudo force equal to to the particle but opposite to the direction of the acceleration


of the frame. This pseudo force itself is the centrifugal force on the particle.

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3

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A particle of mass m is observed from an inertial frame of reference and is found to move in a circle of radius r with a uniform

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A particle is kept fixed on a turntable rotating uniformly. As seen from the ground the particle goes in a circle, its speed is 20 cm/s and acceleration is 20 cm/s2. The particle is now shifted to a new position to make the radius half of the original value. The new values of the speed and acceleration will be

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Water in a bucket is whirled in a vertical circle with a string attached to it. The water does not fall down even when the bucket is inverted at the top of its path. We conclude that in this position