A.
Finding
resultants when angle between forces ¹ 90°
Ex) Forces 5N North and 3N 30° S of E act concurrently (on a
single point).
Find the resultant
and the equilibrant.
When the angle between the
forces is not 90 degrees you can't
use the Pythagorean theorem or trigonometry
Answer
using the Graphical Method
1.
Draw
vectors to some invented scale
2.
Make
parallelogram
3.
Draw
diagonal (resultant)
4.
Find
magnitude (ruler and scale) &
direction (angle) of vector
Equilibrium - a system is considered to be in
a state of equilibrium when its resultant = 0
Ex 1)
5 N 5 N
At Equilibrium:
¨
F
net = 0, a = 0 (F = ma)
¨
Velocity
is constant
Ex2) Could
these forces of 8 N, 6 N and 4 N ever be arranged to produce a state of
equilibrium?
If so, find the resultant of the forces 4 and 6.
Answer:
Ex 3) At the right angle, could
these forces be in equilibrium?
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Answer :