Tension in a Uniform Thread!

A uniform flexible chain of mass mm and length L(πR2)L (\leq \frac{\pi R}{2}) rests on a fixed smooth cylindrical surface of radius RR such that one end AA of the chain is at the top of the cylinder while the other end BB is free. The chain is held stationary by a horizontal thread PAPA as shown in the figure. Calculate the Tension (T)(T) in the thread.

Assume α=LR\alpha = \dfrac L R .

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