Biomechanics Flashcards
multiplication factor of the prefix ‘mega’
10 to the power 6
multiplication factor of the prefix ‘giga’
10 to the power 9
multiplication factor of the prefix ‘micro’
10 to the power -6
multiplication factor of the prefix ‘nano’
10 to the power -9
what is the importance of reference frames and coordinate systems?
reference frames allow us to describe all positions and directions in biomechanics.
positions within the reference frame are related by a particular coordinate system
2 types of co-ordinate system
rectangular co-ordinate system
polar co-ordinate system
describe the rectangular co-ordinate system
also known as the Cartesian co-ordinate system.
consists of 3 axes at right angles to one another (x, y and z axes)
describe the polar co-ordinate system
uses a length and an angle to describe positions
define a plane
a flat surface, which has zero-thickness so is therefore 2D
list 3 facts about planes
- two planes can be at right angles to one another
- 3 planes, but no more, can mutually be at right angles, like at the corner of a cube
- a straight line is formed where 2 planes cross each other
name the 3 planes of the body
coronal/frontal plane - side to side
sagittal plane - front to back
transverse - horizontally through
describe the difference between linear and rotary motion
linear motion is motion in a straight line
rotary motion is motion about a central axis
objects can undergo either type of motion or both at the same time
what is a vector quantity and how does it differ from a scalar quantity
a vector is a quantity that has a magnitude and direction, however a scalar is a quantity that only has magnitude
list examples of vector quantities
displacement
velocity
acceleration
force
list examples of scalar quantities
distance
speed
temperature
what is the difference between ‘distance’ and ‘displacement’
distance is a scalar quantity, and is the actual distance travelled between 2 points
displacement is a vector quantity, and is the straight-line distance between 2 points with a defined direction
what is the difference between ‘speed’ and ‘velocity’
speed is a scalar quantity, and is the rate of change of distance travelled
velocity is a vector quantity, and is the rate of change of displacement
what is the equation for average velocity
change in displacement/time (metres per second)
define the term ‘acceleration’
the rate of change of velocity
define the term ‘deceleration’
the rate of change of velocity on slowing down (it will be a negative value)
what is the equation for average acceleration
change in velocity/time (metres per second squared)
what 2 effects can a force have on an object
- change the position of the object in space
2. deform the shape of the object
what is the unit of force
the Newton (N)
i.e. 1 kg per metre per second squared
it is an SI derived unit
define the term ‘statics’
the branch of mechanics dealing with forces and moments acting on objects at rest or moving with constant velocity i.e. not accelerating
define the term ‘static equilibrium’
an object which is static with no resultant force (or moment) acting on it is said to be in static equilibrium
what is the first condition of static equilibrium
the sum of all the external forces acting on an object is zero
define the term ‘translational equilibrium’
a more specific way of describing the first condition of static equilibrium; static equilibrium along straight lines
what is Newton’s III Law
to every action, there is an equal and opposite reaction
what forces are included in a free body diagram
all external forces (and moments) acting on a body, including those due to gravity, friction forces and reaction forces
describe the difference between ‘mass’ and ‘weight’
Mass (m) is a scalar quantity, and is the quantity of matter of which a body is composed (unit = kg)
Weight (W) is a vector quantity, and is the force of gravity acting on a body (unit = N)
define ‘density’
density is equal to the mass per unit volume
give the equation for density
density (ρ) = mass/volume (unit = kg per metre cubed)
what is gravity?
the acceleration due to gravitational attraction between 2 bodies. Gravity results in a body having a weight
what is the equation for calculating the weight of a body
Weight (W) = mass (m) x gravity (g) unit = N
what is the difference between ‘centre of mass’ and ‘centre of gravity’
a ‘centre of mass’ is a point in an object where all the mass of an object can be assumed to act.
a ‘centre of gravity’ is a point in an object where all the weight of an object can be assumed to act.
a centre of gravity will only exist in an object in a gravitational field. where both a centre of mass and a centre of gravity exist, they will be coincidental.
define ‘pressure’
the force exerted per unit area
equation for pressure
Pressure (P) = Force (F)/Area (A)
unit = Newton per metre squared (Pa)
define the term ‘moment’
the moment of a force is the tendency of a force to produce a rotation about an axis.
it is the product of the applied force and the moment arm.
the moment arm is the length of the line that passes through the centre of rotation and is perpendicular to the line of action of the force.
equation for finding the moment of a force
Moment = force x moment arm
M = F x d (unit = N m )
what is the second condition of static equilibrium
the sum of all external moments acting on a body must be equal to zero
define the term ‘rotational equilibrium’
a more specific way of describing the second condition of static equilibrium; static equilibrium about an axis
what is a ‘lever’
a lever is a simple system, where a rigid bar pivots on a fulcrum (i.e. a hinge) and is acted on by an effort force and a resistance force.
The effort force and resistance force produce moments acting about the fulcrum.
in a lever system, what is the ‘effort arm’
the length of the line that passes through the fulcrum (i.e. the centre of rotation) and is perpendicular to the effort force
in a lever system, what is the ‘resistance arm’
the length of the line that passes through the fulcrum (i.e. the centre of rotation) and is perpendicular to the resistance force
when is a lever system said to be working at a ‘mechanical advantage’
when the magnitude of the effort force required to overcome the resistance force is smaller than the resistance force
i.e. when the effort arm is LONGER than the resistance arm
when is a lever system said to be working at a ‘mechanical disadvantage’
when the magnitude of the effort force required to overcome the resistance is larger than the resistance force
i.e. when the effort arm is SHORTER than the resistance arm
what is the equation for calculating the mechanical advantage of a lever system
MA = effort arm/resistance arm
> 1 indicates mechanical advantage
< 1 indicates mechanical disadvantage
list the 3 types of lever system
1st class lever: fulcrum is located between the effort force and resistance force. can work at either MA or MD
2nd class lever: resistance force is located between the fulcrum and the effort force. always works at MA because the effort arm is always longer.
3rd class lever: effort force is located between the fulcrum and the resistance force. always works at MD because the effort arm is always shorter.
list the 4 types of tissue within the body
- Epithelial tissue
- Connective tissue
- Muscle tissue
- Nervous tissue
what is the role of connective tissue
protects and supports the body and its organs
connects and holds organs together
transport substances throughout the body
list 4 types of connective tissue
bone tissue
articular cartilage
tendons
ligaments
what does the non-cellular organic component of bone consist of
very strong collagen fibres embedded in a jelly-like matrix called ground substance. makes the bone flexible but resist stretching.
what does the cellular inorganic component of bone consist of
calcium phosphate crystals. makes the bone hard and rigid.
describe the composition of compact bone
compact bone is the outer layer and has a dense structure.
basic structural unit - haversian system. lots of longitudinal units arranged in columns.
bone tissue arranged in lamellae - concentric circles around a central canal.
central channel - haversian canal, which contains blood vessels and nerve fibres.
small cavities between lamellae - lacunae, which contain osteocytes.
Canaliculi - link each osteocyte to the Haversian canal and to other lacunae. Nutrients are carried from the blood vessels along these.
Collagen fibres interconnect layers of lamellae.
Each Haversian system is surrounded by ground substance.
describe the composition of cancellous bone
cancellous bone is the inner part and has a spongy mesh-like structure.
basic structural unit - trabeculae. a lattice of branching sheets and columns.
similar structure to haversian system - lamellae layers with lacunae inbetween containing osteocytes and connected by canaliculi.
don’t have haversian canals. they are not needed because blood vessels can pass through the lattice of trabeculae, and supply nutrients to the osteocytes through the canaliculi.
define the term ‘tensile loading’
a material is loaded in tension - acts to stretch the material like in a rope.
define the term ‘compressive loading’
a material is loaded in compression - acts to compress the material like in the supporting column of a building.
define the term ‘stress’
the force per cross-sectional area
equation for stress
stress = force/area (unit N per metre squared)
define the term ‘strain’
the change in length divided by the original length (no units - ratio)
what is Young’s modulus and give the equation
the ratio of stress to strain, where they are directly proportional. i.e. the initial part of a stress-strain curve where they are directly proportional.
Young’s modulus is a constant.
Youngs modulus = stress/strain
what does Young’s modulus give an indication of
how flexible or stiff a material is -
a small Young’s modulus means that a small amount of stress will produce a large strain - it is flexible.
a large Young’s modulus means that a large amount of stress is needed to produce a small strain - it is stiff.
other than tension and compression, what types of loading can bone undergo?
shear loading
bending loading
torsional loading
what is ‘shear loading’
two forces acting in opposite directions tend to cause layers within the material to slip or shear.
bone is strongest in what type of loading?
compression, then tension, then shear
are fractures caused by shear loading common?
no, they are relatively rare, surprisingly
what is ‘bending loading’
loads are applied to a structure that tend to cause the structure to bend
name 2 common types of bending loading and explain them
- cantilever bending:
one end of the object is fixed and a load is applied to the other end causing the object to bend. - three point bending:
3 forces are applied to the object
what is the ‘neutral axis’ in bending loading
when an object is bent, one side is in tension and the other side is in compression.
between the two sides of the structure there is a neutral axis along which no deformation occurs.
when a bone is subjected to a large bending load, will it tend to fracture on the tension side or the compression side?
the tension side - bone is stronger in compression than tension
what is ‘torsional loading’
a bone is twisted about its longitudinal axis. occurs when one end of the bone is fixed and the other end is twisted.
when a structure is subjected to a torsional load, where is the most distortion in this structure, and explain this phenomena
the outer surface is most distorted, with the centre not being distorted.
the centre of a bar is a neutral axis, therefore the core only carries a small proportion of the torsional load
what property of bone maximises its strength-to-weight ratio and explain
hollow structure, with strong cortical bone forming the outer layer.
if the same quantity of bone was used to construct a completely solid structure, the bone would be smaller in diameter and less able to resist torsional loads
what is a combined loading
the presence of more than one type of loading, which results from the irregular geometry of bones
describe the influence of muscle action on the distribution of stress within bone
Loads applied by muscles when they contract alters the stress distribution of bone.
Muscles often contract to alter the stress distribution in bone rather than the cause movement. If a muscle contracts and produces a compressive load on a bone, it will eliminate any tensile forces acting on the bone.
Since bones are stronger in compression than tension, this is desirable
describe the influence of exercise and weightlessness on bone mineralisation
Generally, bone is laid down where needed (exercise) and resorbed when not needed (weightlessness)
- Wolff’s Law