# Tension in a Uniform Thread!

A uniform flexible chain of mass $$m$$ and length $$L (\leq \frac{\pi R}{2})$$ rests on a fixed smooth cylindrical surface of radius $$R$$ such that one end $$A$$ of the chain is at the top of the cylinder while the other end $$B$$ is free. The chain is held stationary by a horizontal thread $$PA$$ as shown in the figure. Calculate the Tension $$(T)$$ in the thread.

Assume $$\alpha = \dfrac L R$$.

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