Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

A block with mass $15\,\text{kg}$ is suspended in equilibrium from a horizontal ceiling by two strings, as the diagram shows. One string makes an angle of $45^\circ$ with the horizontal and has tension $120\,\text{N}$. The second string is at $\theta^\circ$ to the horizontal and carries tension $T\,\text{N}$.
(main)[6]

Determine $T$ and $\theta$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Attempts a resolution of the forces along two perpendicular directions, using the correct number of terms

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