(a)[3]
Given that $\alpha = 60$, and that the resultant of the four forces is in the direction of the $3\ \text{N}$ force, determine $F$.
(b)[5]
If the four forces are instead in equilibrium, determine the values of $F$ and $\alpha$.
Mathematics 9709 · AS & A Level · Forces and equilibrium
Forces and equilibrium — practice question
Coplanar forces with magnitudes $F\ \text{N}$, $3\ \text{N}$, $6\ \text{N}$ and $4\ \text{N}$ are applied at point $P$, as indicated in the diagram.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Resolving the forces vertically to obtain $4\sin30 + F\sin60 - 6 = 0$” …
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