Mathematics (AS & A Level) · Oct / Nov 2023 · Paper 42 · Question 2

2 N 30Å 40Å A B R m kg The diagram shows a smooth ring R, of mass mkg, threaded on a light inextensible string. A horizontal force of magnitude 2N 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 30Å with the vertical, the part BR makes an angle of 40Å with the vertical and the string is taut. The ring is in equilibrium. Find the tension in the string and find the value of m. [5]

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