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Statement of a problem № 3454

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A bead of mass m slides freely on a smooth circular wire of radius r which rotates with constant angular velocity w. On a horizontal plane about a point fixed on its circumference, show that the bead performs simple harmonic motion about the diameter passing through the fixed point as a pendulum of length r = g/w^2.

Solution:
A bead of mass m slides freely on a smooth circular wire of radius r which rotat

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