In the figure below, is a regular hexagon, where is the point of intersection of its diagonals, and the
forces in the figure are measured in newtons. Find the resultant of the forces and its inclination angle with
the positive direction of the -axis, and approximate the result to the nearest minute, if needed.
To find the resultant of a number of coplanar forces acting at a point, we begin by
resolving all the forces in the and
directions to find the and
components of the resultant.
We can see from the figure that the polar angles of the forces (starting with A and
moving anticlockwise) are as follows: , , ,
, , and .
In the direction:
The magnitude of the resultant is given by
The polar angle is given by