Two forces having magnitudes of 14 and N, and the measure of the angle between them belongs to . If their resultant bisects the angle included between them, find the value of .
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 the resultant bisects the angle between the two forces, , therefore we can rewrite the formula as follows:
Hence, since , then the magnitude of the second force will also be 14 newtons.