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Kinetics
Richard Baker
Professor of Clinical Gait Analysis
Blog: wwRichard.net
1
Aims
• Ground reaction
– What is it?
– What can we see in the gait graphs?
• Joint moments
– What are they?
– What can we see in the gait graphs?b
2
Ground Reaction Force
What is it?
3
Forces (in general)
• If no forces act on an object it will continue
to move in a straight line at constant speed.
• This is often hidden because of:
– Friction
– Air resistance
Forces in different directions
• Any force will only cause a change of speed
in the direction in which it is acting so we
can think about forces acting in different
directions separately.
• We’ll look first at a simple case of how
forces act in a horizontal direction.
Forces (in general)
• If you want to change the speed at which
an object moves you have to apply a force.
No forces acting
Ball stays still (for ever)
Forces (in general)
• If you want to change the speed at which
an object moves you have to apply a force.
Apply a force
Ball moves in direction of
force
Forces (in general)
• If you want to change the speed at which
an object moves you have to apply a force.
Stop applying force
Ball continues to move at
same speed (for ever)
Forces (in general)
• If you want to change the speed at which
an object moves you have to apply a force.
Apply another force
Ball starts to move faster
(acceleration)
Forces (in general)
• If you want to change the speed at which
an object moves you have to apply a force.
Stop applying force
Ball continues to move at
same speed (for ever)
Forces (in general)
• If you want to change the speed at which
an object moves you have to apply a force.
No forces acting
Ball stays still (for ever)
Forces (in general)
• If you want to change the speed at which
an object moves you have to apply a force.
Apply a force
Ball moves in direction of
force
Forces (in general)
• If you want to change the speed at which
an object moves you have to apply a force.
Stop applying force
Ball continues to move at
same speed (for ever)
Forces (in general)
• If you want to change the speed at which
an object moves you have to apply a force.
Apply another force
Ball starts to move faster
(acceleration)
Forces (in general)
• If you want to change the speed at which
an object moves you have to apply a force.
Stop applying force
Ball continues to move at
same speed (for ever)
Forces
• When a force is applied the object changes
the speed of movement – it accelerates
• Speed of movement does not change
unless a force is acting.
Forces (in general)
• A force is also required if you want to slow
an object down
No forces acting
Ball moves at constant
speed
Forces (in general)
• A force is also required if you want to slow
an object down
Force against motion
Ball slows down
(deceleration)
Forces (in general)
• A force is also required if you want to slow
an object down
Remove force
Ball continues at slower
speed
Forces (in general)
• A force is also required if you want to slow
an object down
Force against motion
Ball stops
Acceleration and Deceleration
• If you apply a force in the direction that the
object is already moving its speed will
increase (acceleration)
• If you apply a force opposite to the direction
in which the object is already moving its
speed will decrease (deceleration)
• There is no difference between these forces
(apart from the direction in which they are
acting)
Acceleration and Deceleration
• The change of speed is proportional to the
force: the bigger the force the more the
speed changes.
• It is inversely proportional to the mass of
the object: the lighter the object the more
the speed will change (for the same force)
Take home
• Objects continue to move at constant speed
unless a force acts.
• The bigger the force the bigger the change
in speed.
Vertical forces and gravity
• Gravity acts on all objects.
• It always acts downwards.
• Unless another force is acting on an object
then the object will accelerate downwards
Vertical forces and gravity
Gravity always acts downwards
The ball doesn’t move
An equal force must be acting upwards
This force is called a “reaction”
Vertical forces and gravity
Remove support
No reaction
Ball will accelerate downwards
Vertical forces and gravity
Still no support
Still no reaction
Ball will accelerate downwards more
“Components of force”
• Forces very rarely act purely horizontally or
vertically.
“Components of force”
• We can always split the force into
components: one horizontal and one
vertical
Vertical
component
Horizontal
component
“Components of force”
• We can treat the components as if they are
two different forces.
Vertical
component
Horizontal
component
will accelerate/decelerate
object vertically
will accelerate/decelerate
object horizontally
Ground reaction in walking
Measured with force plate
Ground reaction in walking
Vertical
component
Horizontal component
Ground reaction in walking
• Vertical component
can only act
upwards
• Horizontal force
can act backwards
(here)
Ground reaction in walking
• Vertical component
can only act
upwards
• Horizontal force
can act backwards
(here)
• Or forwards (here)
Ground Reaction
What can we see in the gait graphs?
35
Ground reaction in walking
• Components of ground
reaction can be displayed
exactly as joint angles
• Both vertical (top) and
horizontal (bottom)
component grapsh have
characteristic shapes (like
joint angles)
Forwards
Backwards
Up
Vertical component
37
Trajectory of centre of mass
38
Upward acceleration
39
A B
BA
Warning: This is not what you
read in many text books!
40
A B C
BA C
Upward deceleration
Downward acceleration
41
A B C D
BA C D
Downward deceleration
42
A B C D E
BA C D E
Warning: This is not what you
read in many text books!
Horizontal component
43
Trajectory of centre of mass
44
Forwards acceleration
45
BA C
A B C
Forwards acceleration
46
BA C D E
A B C D E
47
Fore-aft component of ground reaction largely a
consequence of alignment of segments
(requires little more muscle activity than that required to
maintain that alignment)
Cyclic walking
48
Cyclic walking
49
Average vertical component
(on both feet) must be equal
to bodyweight
Average horizontal component
(on both feet) must be equal to
zero
Joint moments
What are they?
50
Moment – Angular “force”
51
Moment arising from force
52
Moment arising from force
53
Moment is proportional to size of force
Moment arising from force
54
Moment is proportional to perpendicular distance
from pivot
Moment arising from force
55
Moment independent of direction of force
Moment arising from force
56
Force acting in opposite sense will give opposite moment
57
Forwards
Know forces and moments
What are accelerations?
Know forces and accelerations
What are moments?
Inverse
58
Moment tells us which muscle group is dominant
Only tell us which group is dominant
Tell us nothing about antagonistic activity
Calculating moments
59
Calculating moments
60
Calculating moments
61
• Ounpuu, O., R. Davis, and P. Deluca, Joint kinetics: Methods, interpretation and treatment decision-
making in children with cerebral palsy and myelomeningocele. Gait and Posture, 1996. 4: p. 62-78.
Ankle moment
62
AM1
Ankle moment
63
AM2
Ankle moment
64
AM3
Ankle moment
65
AM2AM1 AM3
Knee moment
66
KM1
Knee moment
67
KM2
Knee moment
68
KM3
Knee moment
69
KM4
Knee moment
KM5
Knee moment
71
KM6
Knee moment
72
KM6KM5KM4KM3KM2KM1
Hip moment
73
HM4
Hip moment
74
HM4
Hip moment
75
HM4
Hip moment
76
HM4
Hip moment
77
HM2
HM5HM4HM1 HM2
Hip moment
78
HM2 HM5HM4HM1 HM2
79
80
Thanks for listening
Richard Baker
Professor of Clinical Gait Analysis
Blog: wwRichard.net
81

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