A-LevelMathematicsMechanics9709/41 · May/June 2019 · Q13 Marks
Given that tan α = 12/5 and tan θ = 4/3, show that the coplanar forces shown in the diagram are in equilibrium. [Figure 1.1]
- Given that tan α = 12/5 and tan θ = 4/3, show that the coplanar forces shown in the diagram are in equilibrium.[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 2019). The mark or mark type is shown in brackets.
- M1 Attempt to resolve forces either horizontally (2 terms) or vertically (3 terms)
- A1 Correct expressions horizontally and vertically
- A1 From convincing exact calculations
- Alternative method for question 1
- M1 Attempt to use Lami, one pair of terms
- A1 All terms correct
- A1 Exact values seen and used and shown to be = 130 cos [180 – (0 + a)] = 33/65 and sin [180 – (0 + α)] = 56/65
Write your answer and get it marked
On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.
Sign up free →