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Biomechanics
Final Review
96
Other
Undergraduate 4
03/13/2008

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Term
MOMENT ARM
Definition
SHORTEST DISTANCE BETWEEN FORCE VECTOR AND COR

PERPENDICULAR TO FORCE VECTOR
Term
FORCE COUPLE
Definition
ARE PARALLEL

ARE EQUAL in MAGNITUDE, BUT OPPOSITE IN DIRECTION

HAVE EQUAL MOMENT ARMS

RESULTS IN: PURE ROTATION WITH NO TRANSLATION
Term
NEWTON'S FIRST LAW
Definition
AN OBJECT WILL REMAIN AT REST OR CONTINUE MOVING AT A CONSTANT VELOCITY UNLESS ACTED UPON BY AN UNBALANCED EXTERNAL FORCE

SUM OF FORCES = 0

SUM OF MOMENTS = 0
Term
NEWTONS SECOND LAW
Definition
IF THERE IS AN UNBALANCED FORCES ACTING ON A OBJECT, IT WILL PRODUCE AN ACCELERATION IN THE DIRECTION OF THE FORCE, DIRECTLY PROP0RTIONAL TO THE FORCE.

F=MA
Term
NEWTONS THIRD LAW
Definition
FOR EVERY ACTION THERE IS A REACTION OF EQUAL MAGNITUDE BUT IN THE OPPOSITE DIRECTION
Term
STATIC EQUILIBRIUM (2D ANALYSIS)
Definition
FX = 0
FY = 0
MZ = 0
Term
1ST CLASS LEVER
Definition
MUSCLE AND RESISTIVE FORCES ON OPPOSITE SIDE OF COR
Term
2ND CLASS LEVER
Definition
MUSCLE AND RESISTIVE FORCES ON SAME SIDE OF COR

RESISTIVE FORCE IS CLOSER TO COR
Term
3RD CLASS LEVER
Definition
MUSCLE AND RESISTIVE FORCES ON SAME SIDE OF COR

MUSCLE FORCE CLOSER TO COR
Term
MOST COMMON LEVER
Definition
3RD CLASS
Term
COM DEFINITIONS
Definition
POINT ABOUT WHICH THE BODY'S MASS IS EVELY DISTRIBUTED

POINT ABOUT WHICH THE SUM OF THE TORQUES DUE TO GRAVITY EQUAL ZERO

POINT WITHIN A SEGMENT THAT CREATES THE SAME NET MOMENT ABOUT ANY POINT ALONG THE SEGMENT AXIS AS DID THE ORIGINAL MASS.
Term
MOTOR UNIT
Definition
SINGLE MOTOR NEURON AND ALL MUSCLE FIBERS IT INNERVATES
Term
GOLGI TENDON ORGANS
Definition
MEASURE FORCE
PROTECTIVE MECHANISM BUILT IN
Term
Proprioceptors
Definition
Stretch receptors: muscle spindles

Tension and force: Golgi tendon organs
Term
Young's modulus
Definition
Stress/strain

Dependent on the type of material
Term
Stiffness (k)
Definition
Force/Length

Dependent on structural properties
Term
Stress (Pa)
Definition
Force/area
Term
Elastic Region
Definition
This part of the Force-Length the tissue will recover. Tissue is not damaged
Term
Plastic Region
Definition
Once past yield point permanent damage is done.
Term
Strain
Definition
Change in length/original length
Term
Poisson's ration
Definition
Ration of change in length in one dimension to another

Indicator of volume change

v = 0.5, incompressible- volume stays the same (tendons)

v, 0.5, compressible )bones
Term
Relationship between stiffness (k) and Young's Modulus (E)
Definition
Increase length : Decrease k

Increase area : Increase k

Increase Young's Modulus : Increase k
Term
Slope of Force-length curve
Definition
Stiffness
Extrinsic stiffness or rigidity
Dependent on material composition and shape
Term
Slope of Stress-Strain Curve
Definition
Young's Modulus
Modulus of elasticity or intrinsic stiffness

Dependent on material composition only
Term
Bone composition
Definition
Collagen
Ground Substance
Inorganic Component
Cells
Water
Term
Collagen
Definition
protein found in most connective tissue

contains wavy fibers that resist stretching
Term
Ground Substances
Definition
proteoglycans

cements collagen
Term
Inorganic component
Definition
calcium and phosphate embedded in collagen

provides solid consistency
Term
What is responsible for force generation of a muscle?
Definition
Sarcomeres
Term
Osteoblasts
Definition
young bone forming cells that cause the hard extracellular matrix of bone to develop
Term
Osteoclasts
Definition
Bone dissolving
Term
Osteocytes
Definition
Mature bone cells that maintain the structure of bone
Term
Bone structure
Microstructure
Definition
osteon/haversian system with cylindrical channels
Term
Bone Structure
Macrostructure
Definition
cortical/compact bone- outer shell

cancellous/trabecular bone- inner more porous

perosteum- fibrous membrane, surrounding bone
Term
Spacial
Definition
adding more motor units

contributes to modulation of forces
Term
Temporal
Definition
Term
Connective Tissue
Definition
Loose connective tissue- Random order- Fascia

Dense connective tissue-
Irregular- Random order, periosteum
Regular- parallel fibers(tendon, ligament, aponeurosis)

Cartilage

Bone
Term
Structure of connective tissue
Definition
Cells
Extracellular Matrix
-Interfilrillar- ground substance proteoglycans and glycoproteins
-Fibrillar- collagen and elastin

Inorganic matrix

Water
Term
Brittle Material
Definition
Ultimate yield is close to yield point

ex. Glass
Term
Ductile Material
Definition
ultimate yield far from the yield point

ex. metal
Term
Sub-Failure deformation occurs in the _______ region
Definition
Elastic
Term
Post-failure deformation occurs in _________ region
Definition
Plastic
Term
How does bone remodel as we age to increase the load we can bear?
Definition
Increase cross-sectional area

Change material composition
Term
Types of bone loading
Definition
tension- calcaneous

compression- vertebrae

bending- "boot top" tibia

shear- tibial plateau

torsion- spiral fracture
break at 45 degrees
Term
Bone properties
Definition
High stiffness

Wolf's Law- bone remodels under loads

Cancellous bone fx at 75% strain, cortical at 2%

Bone is stronger in compression than tension

Bone is anisotropic
Term
Anisotropic
Definition
bone has different material properties depending on what direction it is loaded.
Term
Tendon/ligament composition
Definition
Extracellular Matrix-
-collagen(25%)
-elastin
-gound substance- proteoglycans (5%)

Cells-
-fibroblasts

Water- (70%)
Term
Tendon/Ligaments structure
Definition
Collagen

Proteoglycans

Elastin
Term
Collagen
Definition
crimped and with cross links
parallel arrangement in tendons
more mixed arrangement in ligaments
Term
Proteoglycans
Definition
binds extracellular water, cement like
Term
Elastin
Definition
low concentration except in ligamenta flava
Term
Bone vs. Tendon.ligament
Definition
bone is more linear
bone has a higher E
bone fails at a higher stress
bone fails at a lower strain
Term
Control parameters that affect biomechanics
Definition
tissue loading rate
loading vs unloading
number of loading cycles
length of time tissue is held at five force or displacement
Term
Effects of loading rate
Definition
Stiffness and young's modulus increase with increased loading rate
Term
Hysteresis
Definition
Loading and unloading curves are not the same
Viscoelastic tissue means it won't return on the same path
Term
Multiple cycles of loading
Definition
Tissue will stretch (increase length) with multiple loading cycles
Term
Stress Relaxation
Definition
Force or stress will decrease if length or strain is kept constant
Term
Creep
Definition
Length or strain will increase if force or stress is kept constant
Term
Cartilage composition
Definition
cells- condrocytes

Extracellular matrix- type II collagen, proteoglycans


Water

Avascular
Term
Hyaline cartilage structure
Definition
Biphasic- fluid filled, porous-permeable medium (sponge)

proteoglycans- attracts water, causing swelling

collagen- wavy
Term
Cartilage biomechanics
Definition
cartilage mainly acts in compression

proteoglycans compress

increase in water pressure

tension load on the collagen and water outflow

Water pressure forces cartilage straight in order to bear the load.
Term
Viscoelasticity
Definition
Creep and stress relaxation very important

Can act as a shock absorber (debatable)

Helps increase surface contact area between surfaces

Can take from 4-16 hours to reach equilibrium
Term
Displacement
Definition
Vector product
If finish in the same place they started displacement is zero
Term
Distance
Definition
Scalar product
How far you traveled
Term
1 radian =
Definition
57.3 degrees
Term
Momentum
Definition
Product of mass and velocity
Term
Conservation of momentum
Definition
The total momentum of a system of objects is constant if the net external force acting on the system is zero.

Newton's first Law
Term
Elastic collision
Definition
All energy is conserved

No energy lost
Term
Inelastic collision
Definition
objects combine together

Energy is not conserved

Objects that are moving combine together and move at same velocity after collision

v1

V1=V2
Term
elastic Collision situation

Moving object collides with stationary object
Definition
m1=m2

then V1=U2
Term
Elastic collision situation

Head on collision
Definition
Essentially swap momentums
Term
Elastic collision equation

Fast moving object collides with slower moving object
Definition
Slower mving object ends up with all of the momentum after the collision
Term
Work
Definition
Product of force and displacement (scalar)

Force and displacement along the same axis

Units- N x m = Joules
Term
Positive Work
Definition
Force and displacement in the same direction
Term
Negative work
Definition
Force and displacement in the opposite direction
Term
Conservative forces
Definition
work done does not depend on path taken
Term
Nonconservative forces
Definition
work done depends on path
Term
Work energy theorem
Definition
W = change in KE + change in PE
Term
No Work
Definition
conservation of Mechanical Energy

Change in KE + Change in PE = 0
Term
Power
Definition
P = W/t

= F x d/t

= F x v
Term
Moment of Inertia
Definition
Moment of inertia resists changes in angular velocity

Depends on mass and distribution of mass

Further away the mass is from the axis of rotation the more resistance to motion

ex. the bat. larger (I) when the weight was moved away from the axis of rotation. Smaller (I) when the weight is closer to the axis of rotation
Term
Moment of inertia depends on _______
Definition
Add up contributions of all mass elements

Radius of gyration

Known shapes

Parallel axis theorem
Term
Radius of gyration (k)
Definition
Represents how far from the axis of rotation all the object's mass must be concentrated to create the same resistance to change in angular motion as the object had in its original shape.
Term
Different axes
Definition
Each axis has its own moment of inertia associated with it

More mass concentrated away from COR then it will have a higher (k)

ex. Increased inertia when moving in flexion/extension vs pronation/supination.
Term
Known shapes (about COM)
Definition
Moment of inertia at COM

Hollow disc (circle) = mr^2 - more mass is further away from COR

solid disc = (mr^2)/2 = lower (I) mass is close to COR

Rod = (mL^2)/12
Term
Parallel axis theorem (eccentric axes)
Definition
I = (mL^2)/3
Term
Whole Body Moment of Inertia
Definition
Greatest moment of inertia in transverse plane
Decreases when person crouches down

Moment of inertia is greatest in sagittal plane when the arms are straight out to the side. It decreases when the arms are at the side.
Term
Conservation of angular momentum 1st law
Definition
A rotating body will continue to turn about its axis of rotation with constant angular momentum, unless acted upon by an external torque.

H = I x angular velocity
Term
2nd law of angular analog of Newton's laws
Definition
The rate of change of angular momentum of a body is proportional to the torque causing it.

T = I x alpha
Term
Conservation of Angular Momentum
Definition
When mass was closer to the COR

Reduces Moment of Inertia

Increases Angular Velocity

Momentum (H) stays constant
Term
Angular Kinetic Energy

To calculate muscle force for static
Definition
Sum of Moment Arms = 0
Term
Angular Kinetic Energy

To calculate muscle force for dynamic
Definition
Sum of Moment Arms = I x alpha
Term
Angular Work
Definition
Linear Work = F x d

Angular Work = Torque x theta
Term
Angular Power
Definition
Linear power = F x v

Angular power = T x angular velocity
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