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\includegraphics[max width=\textwidth, alt={}, center]{2b3457b6-1fe9-4e67-91d4-a8bc4a5b1709-2_325_481_1699_792}
Three horizontal forces of magnitudes \(8 \mathrm {~N} , 15 \mathrm {~N}\) and 20 N act at a point. The 8 N and 15 N forces are at right angles. The 20 N force makes an angle of \(150 ^ { \circ }\) with the 8 N force and an angle of \(120 ^ { \circ }\) with the 15 N force (see diagram).
- Calculate the components of the resultant force in the directions of the 8 N and 15 N forces.
- Calculate the magnitude of the resultant force, and the angle it makes with the direction of the 8 N force.
The directions in which the three horizontal forces act can be altered.
- State the greatest and least possible magnitudes of the resultant force.