Two forces 10 N acting in the

Question

direction N 30 east and 15 N acting
in the eastern direction, if both
forces act at a point, find the
magnitude and direction of (a) the
resultant force (b) the equilibriant force.

Answer 1

F1=10 N at 60°
F2=15 N at 0°
Use x- and y-components method:

x-component
Fx=F1*cos(60)+F2*cos(0)
=20 N
y-component
Fy=F1*sin(60)+F2*sin(0)
=8.660254 N

Resultant, R= √(Fx²+Fy²)

angle, θ = atan2(Fy, Fx)

Hints for checking your answer:
20 N < R <25 N
20°< θ <25°