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Moment of a force
Gap-fill exercise
Fill in all the gaps.
direction Distance down Equilibrium Force magnitude metre Newton opposite parallel Perpendicular turning
As well as causing an object to accelerate, a force may cause a body to turn or rotate, i.e. a force can have a
direction
Distance
down
Equilibrium
Force
magnitude
metre
Newton
opposite
parallel
Perpendicular
turning
effect.
To quantify this turning effect we have the following relationship, called The Moment of a Force:
Moment of a Force = Force × Perpendicular
direction
Distance
down
Equilibrium
Force
magnitude
metre
Newton
opposite
parallel
Perpendicular
turning
The unit of moment of a force is the
direction
Distance
down
Equilibrium
Force
magnitude
metre
Newton
opposite
parallel
Perpendicular
turning
Metre (Nm).
Conditions for Equilibrium of an object under Co-planar Forces
If an object is in equilibrium then:
1. The vector sum of the forces in any
direction
Distance
down
Equilibrium
Force
magnitude
metre
Newton
opposite
parallel
Perpendicular
turning
is zero.
(forces up = forces
direction
Distance
down
Equilibrium
Force
magnitude
metre
Newton
opposite
parallel
Perpendicular
turning
)
2. The sum of the moments about any point is zero.
(Total sum of clockwise moments = Total sum of anti clockwise moments)
Moment of a Force =
direction
Distance
down
Equilibrium
Force
magnitude
metre
Newton
opposite
parallel
Perpendicular
turning
×
direction
Distance
down
Equilibrium
Force
magnitude
metre
Newton
opposite
parallel
Perpendicular
turning
direction
Distance
down
Equilibrium
Force
magnitude
metre
Newton
opposite
parallel
Perpendicular
turning
A couple
Two
direction
Distance
down
Equilibrium
Force
magnitude
metre
Newton
opposite
parallel
Perpendicular
turning
forces with the same
direction
Distance
down
Equilibrium
Force
magnitude
metre
Newton
opposite
parallel
Perpendicular
turning
acting in
direction
Distance
down
Equilibrium
Force
magnitude
metre
Newton
opposite
parallel
Perpendicular
turning
directions are called a couple.
Unit of a couple Newton
direction
Distance
down
Equilibrium
Force
magnitude
metre
Newton
opposite
parallel
Perpendicular
turning
Example: Turning a steering wheel (or two people on opposite ends of a revolving door).
Torque
The Moment of a couple is known as Torque
Moment of a couple (Torque) T =
direction
Distance
down
Equilibrium
Force
magnitude
metre
Newton
opposite
parallel
Perpendicular
turning
x Distance (between the two forces – Not distance to the middle)
T = F × d
Mandatory Experiment:
To verify the Laws of
direction
Distance
down
Equilibrium
Force
magnitude
metre
Newton
opposite
parallel
Perpendicular
turning
for a set of coplanar Forces.
Check
OK
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