EFFECT OF FORCES MOMENTS
Nov 22, 2015
TURNING
EFFECT OF
FORCES
MOMENTS
Lesson Objectives
Identify what are the forces that will give rise
to clockwise / anticlockwise moments
Calculate clockwise / anticlockwise moments
Use the principle of moments to solve
problems.
MOMENT
DEFINITION
A force can cause many things to move or stop. When a force causes an object to turn, this turning effect is called moments.
Example: A person sitting on a see-saw.
MOMENTS
A force can cause many things to move or stop. When a force causes an object to turn, this turning effect is called moment.
Example: A person sitting on a see-saw.
How many types do we have?
There are 2 types of moments:
Clockwise moment
Anticlockwise moment
How many Types do we have? There are 2 types of moments:
Clockwise moment
Anticlockwise moment
Clockwise Moment
When a force causes an object to turn in a clockwise
direction, it is called a CLOCKWISE MOMENT.
To determine if the force causes a clockwise or
anticlockwise moment, we have to ignore all other forces
acting on the object.
When the girl sits on the see-saw, her weight is the force
exerted on the see-saw.
weight
Clockwise Moment
When a force causes an object to turn in a clockwise
direction, it is called a CLOCKWISE MOMENT.
To determine if the force causes a clockwise or
anticlockwise moment, we have to ignore all other forces
acting on the object.
When the girl sits on the see-saw, her weight is the force
exerted on the see-saw.
weight
ANTI-Clockwise Moment
When a force causes an object to turn in an anti-clockwise
direction, it is called a ANTI-CLOCKWISE MOMENT.
To determine if the force causes a clockwise or
anticlockwise moment, we have to ignore all other forces
acting on the object.
When the girl sits on the see-saw, her weight is the force
exerted on the see-saw.
weight
ANTI-Clockwise Moment
When a force causes an object to turn in an anti-clockwise
direction, it is called an ANTI-CLOCKWISE MOMENT.
To determine if the force causes a clockwise or
anticlockwise moment, we have to ignore all other forces
acting on the object.
When the girl sits on the see-saw, her weight is the force
exerted on the see-saw.
weight
CALCULATING MOMENTS
Moment = force perpendicular distance between force
and pivot
In symbols: Moments = F d
Weight => F
d
Unit for moments: Newton-metre (Nm)
F = 20N
d = 3m
Example 1:
A cat of weight 20N stands on one end of a see-saw and the distance
between the cat and the pivot is 3m, find the moment.
Solution: In this case the cat is causing a clockwise moment.
Clockwise moment = F x d
= 20 x 3
= 60 Nm
Example 2:
A duck stands on one end of a see-saw, 5m away from the pivot.
If the weight of the duck is 10N, find the moment.
Solution: The ducks weight is causing an anticlockwise moment.
Anticlockwise moment = F x d
= 10 x 5
= 50 Nm
F = 10N
d = 5m
Examples which is the distance? Where is the force & pivot?
F
F d
d
d F
F
d
F
weight weight
Principle of Moments
For an object to be in equilibrium(stable/not moving), the
total clockwise moment must be equal to the anticlockwise
moment about the same pivot point.
pivot It is the fixed(non moving) point
SOLVING PROBLEMS RELATED TO PRINCIPLE OF MOMENTS
Step 1:
Identify what are the forces that will give rise to clockwise / anticlockwise moment
Step 2:
Find the clockwise / anticlockwise moment
Step 3:
Equate the clockwise and anticlockwise moments
10N 30N
6m d
Find the value of d.
WORKED EXAMPLE
Step 1:
Identify what are the forces that will give rise to clockwise / anticlockwise moment
10N 30N
6m d
Find the value of d.
WORKED EXAMPLE
Anticlockwise moment
Clockwise moment
Step 2:
Find the clockwise / anticlockwise moment
10N 30N
6m d
Clockwise moment = Force x distance between force and pivot
= 30 x d
= 30d Nm
WORKED EXAMPLE
Anticlockwise moment
Clockwise moment
Anticlockwise moment = Force x distance between force and pivot
= 10 x 6
= 60 Nm
Find the value of d.
Solution:
Step 3:
Equate the clockwise and anticlockwise moments
10N 30N
6m d
Find the value of d.
Solution:
Clockwise moment = Force x distance between force and pivot
= 30 x d
= 30d Nm
Anticlockwise moment = Force x distance between force and pivot
= 10 x 6
= 60 Nm
Using the principle of moments,
Clockwise moment = Anti-clockwise moment
30d = 60
d = 60 30
d = 2 m
WORKED EXAMPLE
Anticlockwise moment
Clockwise moment
Points to note:
1. The unit for force must be in Newtons, the unit for distance must be in metres.
2. The distance must be measured from the force to the pivot.
In Conclusion . . .
Let us look at examples A & B on page 54
Discussion questions: Page 55 #1-3
Home work: Study page 55 (conditions for
equilibrium) then answer question 4.