Mathematics (AS & A Level) · Oct / Nov 2018 · Paper 42 · Question 1

A B 45Å 2.5 N R A smooth ring R of mass m kg is threaded on a light inextensible string ARB. The ends of the string are attached to fixed points A and B with A vertically above B. The string is taut and angle ARB = 90Å. The angle between the part AR of the string and the vertical is 45Å. The ring is held in equilibrium in this position by a force of magnitude 2.5 N, acting on the ring in the direction BR (see diagram). Calculate the tension in the string and the mass of the ring. [4]

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