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A bead is free to slide down on a smooth...

A bead is free to slide down on a smooth wire rightly stretched between points `A and B` on a vertical circle of radius `10 m`. Find the time (in sec) taken by the bead to reach point `B`, if the bead slides from rest from the highest point `A` on the circle.
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Text Solution

Verified by Experts

The correct Answer is:
2
`AB = 2R cos theta`
`AB = (1)/(2) g cos theta t^2 rArr 2 R cos theta = (1)/(2) g cos theta t^2`
`2 sqrt((R )/(g)) = t rArr 2 sqrt((10)/(10)) = t = 2 s`.
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