A-LevelMathematicsMechanics9709/42 · Feb/Mar 2025 · Q14 Marks
Three coplanar forces of magnitudes 40N, 30N and X N act at a point in the directions shown in the diagram. [Figure X.X]
- (a)Given that the forces are in equilibrium, find the values of θ and X.[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 (Feb/Mar 2025). The mark or mark type is shown in brackets.
- *M1 Allow sin/cos mix; correct number of terms.
- A1 For correct resolving in two directions.
- DM1 For attempt to solve for either.
- A1 36.869... AWRT 50.0.
- M1 For attempt to solve for X using Pythagoras. (Alternative for Q1 using triangle of forces)
- A1 AWRT 50.0. (Alternative for Q1 using triangle of forces)
- M1 For attempt to solve for θ. (Alternative for Q1 using triangle of forces)
- A1 AWRT 36.9. (Alternative for Q1 using triangle of forces)
- *M1 For any 2 fractions correct. (Alternative for Q1 using Lami's Theorem)
- A1 For all 3 fractions correct. (Alternative for Q1 using Lami's Theorem)
- DM1 Solve for θ. (Alternative for Q1 using Lami's Theorem)
- A1 36.869... AWRT 50.0. (Alternative for Q1 using Lami's Theorem)
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