Answer to Question #268546 in Mechanics | Relativity for zenon

Question

a resultant force of 4.5 N directed 30 north east is acting on a particle. what force is needed to bring the particle into a state of equilibrium

Answer 1

The equilibrant force must be of equal magnitude and opposite direction:

$$F_e=F\angle(\theta+180°),\\ F_e=4.5\text{ N 30° South of West.}$$