Two forces of 10 Newtons are applied to one point of the body at an angle of 60 degrees

Two forces of 10 Newtons are applied to one point of the body at an angle of 60 degrees to each other. What is the resultant of these forces (N)? cos60 ° = 0.5√3 = 1.73.

Given:

F1 = F2 = 10 N – forces applied to one point;

a = 60 degrees is the angle between the forces.

It is required to find the resultant of the forces F (newton).

Let us choose a coordinate system passing through the point to which the forces are applied. Then we find the resultant forces by the formula:

F = F1 * cos (a / 2) + F2 * cos (a / 2) = 2 F1 * cos (a / 2) = 2 * 10 * cos (30) = 20 * 0.87 = 17.4 Newtons.

Answer: the resultant of the forces is 17.4 Newtons.