(i)[4]
With $F = 0$, $G = 75$ and $\alpha = 60^\circ$ given, find the magnitude and direction of the resultant force.
(ii)[5]
Suppose instead that $G = 0$ and the forces are in equilibrium; find the values of $F$ and $\alpha$.
Mathematics 9709 · AS & A Level · Forces and equilibrium
Forces and equilibrium — practice question
At point $P$, the diagram shows coplanar forces with magnitudes $F\,\text{N}$, $3F\,\text{N}$, $G\,\text{N}$ and $50\,\text{N}$ acting together, as illustrated in the diagram.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “By resolving the forces, obtain $X = 75 + 50\cos60$, $Y = 50\sin60$” …
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