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A bead of mass m is released from rest at A to move along the fixed smooth circular track as shown in Fig. The ratio of magnitudes of centripetal force and normal reaction by the track on the bead at any point $P_{0}$ described by the angle $θ$ ( $\neq 0$ ) would

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Increase with θ

Decrease with θ

Remain constant

First increase with θ and then decrease

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detailed solution

Correct option is C

Conservation of energy gives12mv2=mgRsinθmv2R=2mg sin θ = FC⇒Now, N – mg sin θ = FCN = 3 mg sin θ⇒FCN=23

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A bead of mass m is released from rest at A to move along the fixed smooth circular track as shown in Fig. The ratio of magnitudes of centripetal force and normal reaction by the track on the bead at any point P0 described by the angle θ (≠0) would

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Ready to Test Your Skills?

free study material

A bead of mass m is released from rest at A to move along the fixed smooth circular track as shown in Fig. The ratio of magnitudes of centripetal force and normal reaction by the track on the bead at any point $P_{0}$ described by the angle $θ$ ( $\neq 0$ ) would