Do Now:
What happens to the magnitude of
the resultant force acting on an
object when the angle between the
two forces acting concurrently
increase from 0⁰ to 180⁰?
Try a 10N and a 12N force.
A force of 15.0 N is applied to a box at an
angle of 25° north of west, while another
force of 25.0 N is applied at an angle of
60° north of west. Determine the
magnitude and direction of the resultant
force vector using the mathematical
method of vector addition.
Do Now:
• What is the net force that acts on an object
when it is in equilibrium?
_____________
• If a net force of 15 N acts on an object, how
could the system be brought to
equilibrium?
Vector Addition and
Equilibrium
Equilibrant Force
Def: a force that puts an object in equilibrium
- equal in magnitude to the resultant force,
opposite in direction
To determine the magnitude
and direction of an
Equilibrant force:
1. Determine the resultant of all the forces
acting.
2. Add or subtract 180⁰ to the direction of the
resultant direction.
Two forces are exerted on an object. A 36 N
force acts at 225° and a 48 N force acts at
315°. What are the magnitude and direction
of the equilibrant force?
A sign that weighs 468 N is hung by two ropes,
each makes a 42° angle with horizontal. One
rope hangs left, while the other hangs right.
What force does each rope exert?