10 Three forces, of magnitudes \(4 \mathrm {~N} , 6 \mathrm {~N}\) and \(P \mathrm {~N}\), act at a point in the directions shown in the diagram.
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The forces are in equilibrium.
- Show that \(\theta = 41.4 ^ { \circ }\), correct to 3 significant figures.
- Hence find the value of \(P\).
The force of magnitude 4 N is now removed and the force of magnitude 6 N is replaced by a force of magnitude 3 N acting in the same direction.
- Find
(a) the magnitude of the resultant of the two remaining forces,
(b) the direction of the resultant of the two remaining forces.