The four coplanar forces shown in the diagram are in equilibrium. Find the values of P and θ. [Figure X.X]
- The four coplanar forces shown in the diagram are in equilibrium. Find the values of P and θ.[5]
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 2017). The mark or mark type is shown in brackets.
- M1 Resolves forces vertically
- A1 P = 8.14
- M1 Resolves forces horizontally
- M1 Attempt to solve for θ
- A1 θ = 30.6
- M1 Uses Lami's Theorem (forces 3P and 20)
- A1 P = 8.14
- M1 Uses Lami's Theorem (forces 3P and 2P cos θ)
- M1 Attempt to solve for θ
- A1 θ = 30.6
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