Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

A $300\,\text{kg}$ crate is motionless on rough horizontal ground. The coefficient of friction between the crate and the ground is $0.5$. A force of size $X\,\text{N}$, making an angle $\alpha$ above the horizontal, acts on the crate, with $\sin \alpha = 0.28$.
(main)[5]

Determine the largest value of $X$ that allows the crate to stay at rest.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: An attempt to resolve forces horizontally or vertically.

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