Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

The diagram depicts a small object $P$ of mass $20\,\text{kg}$, supported in equilibrium by light ropes fixed at points $A$ and $B$. The rope $PA$ is at an angle of $50^\circ$ above the horizontal, while the rope $PB$ is at an angle of $10^\circ$ below the horizontal, and the two ropes lie in the same vertical plane.
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Find the tension in rope $PA$ and the tension in rope $PB$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Resolve the forces in the horizontal direction

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