Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

A block with mass $5\,\text{kg}$ is kept in equilibrium close to a vertical wall by two light strings and a horizontal force of magnitude $X\,\text{N}$, as the diagram shows. Each string is inclined at $60^{\circ}$ to the vertical.
(a)[4]

Given that $X = 100$, determine the tension in the lower string.

(b)[4]

Find the least possible value of $X$ for which the block stays in equilibrium in the position shown.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use resolution of forces to set up the equilibrium equations

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