A-LevelMathematicsMechanics9709/43 · May/June 2019 · Q26 Marks
Coplanar forces of magnitudes 12 N, 24 N and 30 N act at a point in the directions shown in the diagram. [Figure X.X]
- (i)Find the components of the resultant of the three forces in the x-direction and in the y-direction.[4]
- (ii)Hence find the direction of the resultant.[2]
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 2019). The mark or mark type is shown in brackets.
- [M1] Resolving in x-direction: [24cos25° - 12cos65°]
- [A1] 16.7 N (16.679...)
- [M1] Resolving in y-direction: [30-24sin25° – 12sin65°]
- [A1] 8.98 N (8.981...)
- [M1] Uses trigonometry to find the angle: [tan⁻¹ (8.98 / 16.67....)]
- [A1] 28.3° (anticlockwise) from x-direction (28.300... ) or equivalent
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