Two forces act at a point in the plane The angle between the

Two forces act at a point in the plane. The angle between the two forces is given. Find the magnitude of the resultant force 11) forces of 52 and 54 newtons, forming an angle of 90°

Solution

If two force F1 and F2 forming angle theta

then resultant force will be

F = F1^2 + F2^2 + 2*F1*F2 cos(theta)

so here F1 = 52 and F2 = 54 and theta = 90°

F = 52^2 + 54^2 + 2*52*54cos(90°)

=2704+2916 +0

=5620

=74.9666 N