Mathematics (AS & A Level) · Oct / Nov 2025 · Paper 45 · Question 5

P R Q 6 kg 2 kg 5 kg 30° The diagram shows a particle P of mass 6 kg on a rough plane inclined at an angle of 30° to the horizontal. Two light inextensible strings are attached to P. The strings pass over small smooth pulleys, which are fixed at the ends of the plane. The non-vertical parts of the string are parallel to a line of greatest slope of the plane. Particles Q and R, of masses 5 kg and 2 kg respectively, hang vertically at the ends of the strings. Both strings are taut, and the system is released from rest. It is given that the tension in the string attached to Q is twice the tension in the string attached to R.

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