Mathematics (AS & A Level) · May / June 2023 · Paper 43 · Question 3

X N 60Å A B R 0.2 kg A smooth ring R of mass 0.2kg is threaded on a light 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 ABR = 90Å. The angle between the part AR of the string and the vertical is 60Å. The ring is held in equilibrium by a force of magnitude X N, acting on the ring in a direction perpendicular to AR (see diagram). Calculate the tension in the string and the value of X. [5]

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