Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

Two small blocks $A$ and $B$ are kept at rest on a smooth plane that is inclined at $30^\circ$ to the horizontal. Each block is maintained in equilibrium by a force of magnitude $18\,\text{N}$. For $A$, the force acts up the plane, parallel to a line of greatest slope; for $B$, the force acts horizontally in the vertical plane containing a line of greatest slope (see diagram).
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Find the weights of $A$ and $B$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Triangle of forces with sides $18$, $R$ and $W$, or resolving forces parallel to the slope

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