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The diagram shows a smooth ring R, of mass 
, threaded on a light inextensible string. A horizontal force of magnitude 
acts on R. The ends of the string are attached to fixed points A and B on a vertical wall. The part AR of the string makes an angle of 
with the vertical, the part BR makes an angle of 
with the vertical and the string is taut. The ring is in equilibrium. Find the tension 
in the string and find the value of 
.
