# Vertical Circle

A wire is shaped in form of circular arc of a fixed radius as shown in the figure ($$0<\theta <\frac { \pi }{ 2 }$$). A small mass is given horizontal velocity $$v$$ from point O such that it travels on this smooth wire and reaches point A and then travels in the air to reach point B. Find the value of $$\theta$$ such that $$v$$ is minimum.

If $$\theta$$ can be represented as $$\frac{\pi}{n}$$, select $$n$$.

This problem is originally part of set Mechanics problems by Abhishek Sharma.

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