The resultant of two equal forces in magnitude is N, and the included angle between them is . Find the magnitude of any of the forces.
Remember that for two forces and
acting at a point with a resultant force of
, where makes an angle
of with and
makes an angle of with , we can apply
the following formula:
where , , and are the magnitudes of the forces.
Since we know two forces have the same magnitude , we can rewrite the equation as follows:
Therefore, since the angle between the two forces is ,
then the angle between the resultant and either of the forces is
. Hence, we can apply the formula to calculate the
magnitude of either of the forces as follows: