# JEE Advanced Mechanics (Equilibrium) 1

A stick rests on a circle of radius $$R$$. The stick makes an angle $$\theta$$ with the horizontal and is tangent to the circle at its upper end. Calculate $$\theta$$ for which stick is most likely to slip on ground. Enter answer as $$\lfloor 100\theta\rfloor$$ where $$\theta$$ is in degrees.

Details and Assumptions

• Friction exists at all points of contact.

• Assume that stick is large enough to keep the system at rest.

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