Question:medium
A frictionless wire AB is fixed on a sphere of radius R. A very small spherical ball rolls on this wire. The time taken by this ball to slip from A to B is:
A frictionless wire AB is fixed on a sphere of radius R. A very small spherical ball rolls on this wire. The time taken by this ball to slip from A to B is:
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For motion along a smooth wire:
a = gcosθ
Use kinematics directly since no friction is involved.
Updated On: Mar 19, 2026
- \(\dfrac{\sqrt{2gR}}{g\cos\theta}\)
- \(\dfrac{2\sqrt{gR}\cos\theta}{g}\)
- \(2\sqrt{\dfrac{R}{g}}\)
- \( \dfrac{2\sqrt{gR}\cos\theta}{g} \)
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The Correct Option is A
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