A-LevelMathematicsMechanics9709/43 · Oct/Nov 2018 · Q14 Marks
A small smooth ring R of mass 0.2 kg is threaded onto a light inextensible string ARB. The two ends of the string are attached to points A and B on a sloping roof inclined at 45° to the horizontal. A horizontal force of magnitude PN, acting in the plane ARB, is applied to the ring. The section BR of the string is perpendicular to the roof and the section AR of the string is inclined at 70° to the horizontal (see diagram). The system is in equilibrium. Find the tension in the string and the value of P.
- (a)Find the tension in the string and the value of P.[4]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.
- [M1] Resolving vertically
- [A1] T = 1.21 N (1.21447...)
- [M1] Resolving horizontally
- [A1] P = 0.443 (0.443389...)
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