Find the maximum value of the resultant of two forces whose magnitudes are N and N.
Remember that when we have two forces and
acting at a point and is the angle
between them, we can calculate the magnitude of the resultant
force using the following formula:
where , , and are the magnitudes of the forces.
To maximise the resultant force, we want to maximise the formula
above. Since the maximum value of the cosine function is 1 when
, hence the maximum resultant of the two forces is when
the angle between them is zero, and consequently, the maximum is
Hence, the maximum resultant from two forces of magnitudes 22 and 42 newtons is 64 newtons.