A-LevelMathematicsMechanics9709/43 · May/June 2022 · Q48 Marks
The diagram shows a block of mass 10kg suspended below a horizontal ceiling by two strings AC and BC, of lengths 0.8 m and 0.6 m respectively, attached to fixed points on the ceiling. Angle ACB = 90°. There is a horizontal force of magnitude FN acting on the block. The block is in equilibrium. [Figure 4.1]
- (a)In the case where F = 20, find the tensions in each of the strings.[5]
- (b)Find the greatest value of F for which the block remains in equilibrium in the position shown.[3]
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 (May/June 2022). The mark or mark type is shown in brackets.
- [M1] Resolving horizontally or vertically
- [A1] TA × 0.8 - TB × 0.6 – 20 = 0
- [A1] TA × 0.6 + TB × 0.8 - 10g = 0
- [M1] Attempt to solve simultaneously
- [A1] TA = 76 N, TB = 68 N
- [B1] From using TB = 0
- [M1] TA × 0.8 - F = 0
- [A1] F = 400/3 [Allow F = 133 to 3 s.f.]
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