Exam 1 Flashcards
Biological Mechanics: ________
Study of systems in equilibrium and at rest: ________
Study of systems in motion: ________
Study of movement without consideration of the forces involved: ________
Study of movements and forces involved: _______
Biomechanics Statics Dynamics Kinematics Kinetics
What are the 3 types of Motion?
Translatory: all the points on a segment travel in a parallel line
Rotary: a segment travels through an arc of motion around a single axis of rotation
Curvilinear: a combination of rotary and translatory motions
What are the 3 Axes of Motion?
Medial-Lateral: X axis
Anterior-Posterior: Z axis
Superior-Inferior: Y axis
What are the 3 Directions of Motion?
Sagittal Plane: Flexion/Extension
Frontal Plane: Abduction/Adduction
Transverse Plane: Medial/Internal Rotation
What is the difference between mass and weight?
Mass is the amount of matter composing the object (constant)
Weight is the force acting on the object due to gravity (always changing)
What are the Newton’s 3 Laws?
Law of Inertia
F = ma
Every action has an equal and opposite reaction
What is the moment of inertia?
The measure of resistance to angular acceleration; affected both by the total mass and the distance that mass is from the COR
What is the equation for inertia?
I = mr2
What is Work? What is the equation?
The force required to move an object a certain distance
Work = force x distance
What is power? What is the equation?
The rate that work is being done
Power = work/time
What are the 2 types of energy?
Potential Energy and Kinetic Energy
What is difference between Global and Local Coordinate Systems?
Global: how an object moves with respect to the environment
Local: How an object moves with respect to another closely related object
What are the 4 components of a vector?
Magnitude
DIrection
Orientation
Point of Application
What is force?
A push or pull that results from physical contact between two objects
What is the resultant force?
One force that represents the multiple forces operating within the same system; any observed (or measured) force may be the result of 2 or more combined forces
What are orthogonal forces?
Component forces acting at right angles of each other to produce a resultant force
What are the 3 Force Systems?
Linear: a straight line
Planar: a specific plane
Space System: an area combining more than one plane
What are the 4 types of forces that can act within a force system?
Collinear: forces acting along the same straight line
Parallel: forces acting parallel to each other
Concurrent: forces that intersect at a common point
General: forces that are not collinear, parallel, or concurrent but still act within the are or upon the body
What are the 3 joint forces?
Compression
Tension = Traction = Distraction
Shear (Rotation)
What are the 5 main types of force?
Weight
Muscle Tension
Ground Reaction Force (stomp on the ground, and the ground stomps back)
Normal Force (perpendicular)
Force of Gravity: Always pulling towards the earth’s center)
What is the Center of Gravity?
The hypothetical center of mass at which the force of gravity appears to act
What are the two types of Center of Gravity?
Overall COG: the point at which gravity acts on an object from the center of the earth
Segmental: Each part of the whole can be considered to have its own COG, and the interaction of each segment determines the overall COG
What are the average COGs for the 3 planes?
Frontal: at the level of S2
Transverse: anterior to the sacrum
Sagittal: midline
What system is typically used when determining stability?
HAT Unit: Head, Arms, and Trunk
What is the relation between COG and Stability?
The closer the COG is to the BOS the higher the stability
What factors impact COG?
Gender Differences: Women typically have a lower COG compared to men (women’s body mass: caudally distributed; men’s body mass: cranially distributed)
Body types and hypertrophy/atrophy
Amputations
Addition of external loads
What are the components of a lever?
Rigid bar: a body segment/whole limb
Force: created by a muscle contraction
Axis: anatomical joint
Resistance: usually an externally applied force
What is the Lever Arm (aka Moment Arm)?
The perpendicular distance from the point of the applied force on the rigid bar AoR
What two components of a lever have a lever arm?
Force and Resistance
What are the 3 classes of levers?
First Class: FAR
Second Class: ARF
Third Class: AFR
Explain the lever components of tricep extension.
Force: Triceps pulling on the olecranon
Axis: Glenohumeral Joint
Resistance: Mass of the hand and forearm
Explain the lever components of calf raises.
Axis: Metatarsal Heads
Resistance: Middle aspect of the arch of the foot
Force: Muscles of the deep and superficial Posterior Compartment
Explain the lever components of elbow flexion.
Axis: Humeroulnar Joint
Force: Brachialis
Resistance: Halfway down the forearm and hand
What is mechanical advantage?
The ratio of muscle force lever arm (Tdf) to the resistive force lever arm (Tdr)
How do you determine which lever arm has the mechanical advantage?
If Tdf is longer than Tdr, then the muscle has the greater mechanical advantage
What are benefits and setbacks to 1st class levers?
Allow a large muscle mass on the opposite side of the axis from the resistance force
Usually have poor mechanical advantage
What are benefits and setbacks to 2nd class levers?
Have excellent mechanical advantage
Not common in the human body
What are benefits and setbacks to 3rd class levers?
Most common example in the body
Tendons are close to the AoR = small joint circumference
Allow the muscles to have greater lengthening/shortening = large joint movement
Resistance lever arm is longer making the muscles produce more force to overcome the resistance
Makes our body more slim and trim
What is torque? What is the equation?
Force applied through a lever results in a force that causes rotation about the axis of rotation
Torque = force x perpendicular distance
What direction is torque measured in?
Clockwise ( - direction)
Counterclockwise ( + direction)
*The AoR is the Z axis which protrudes outward (right hand rule)
What are the units of torque?
Newton-Meters (Nm): common unit in biomechanics literature Foot Pounds (ft lbs): Isokinetics testing Kilogram Centimeters (kg cm): clinical bicycle ergometer
What are the components of Force Couples?
Forces that are parallel and equal in magnitude
Points of application on opposite ends of a lever
Produce equal torques of the same sense, but act on different sides of the axis of rotation (steering wheel)
What is the biological definition of a force couple?
Two or more forces that act on a rigid body
Rotary motion is produced
Translational motion is minimized
What are two examples of force couples within the body?
Upward Rotation of the scapula (Contraction of the Upper Trap, Lower Trap, and Serratus Anterior)
Anterior Tilt of the pelvis (Contraction of the Erector Spinae, Iliopsoas, and Rectus Femoris)
What happens if, during Upward Rotation of Scapula, one of the three muscles is weaker?
The resulting action is more translational than rotational
What are the components of Biological torques?
Axis of Rotation: usually a joint center
Resistance Force: External force and/or gravity
Lever Arm of Resistance Force
Muscle Force: force produced by the muscle to counteract the resistance force
Lever Arm of muscle force
What is static equilibrium?
When there is no movement, because all torques are balanced
This can be used to find the magnitude of unknown forces that would be difficult to find otherwise
True or False: In Static Equilibrium, the mechanical advantage must be the same.
False
What are the 2 types of pulleys?
Fixed
Movable
What is a Fixed Pulley?
A pulley that changes the action line of a force without changing its magnitude
What is the purpose of a fixed pulley?
Obtain a more favorable angle of pull
Provide a means of separating the muscle bulk from the point of application of the force (i.e. pulleys in the hands)
What is a Movable Pulley?
One end of the rope is fixed, and the applied force creates tension within the rope
The tension force in each strand is equal to the applied force
What is the purpose of a movable pulley?
Exercise weights on pulley arrangement
Orthopedic traction
What is load?
Any force or combination of forces applied to the outside of a structure (external force)
What are the 2 types of load?
Total Load: force/total area (sum of all external forces)
Unit Load: the load expressed per unit of cross-sectional area (unit force or pressure)
What is stress?
The resistance of the intermolecular bonds in a substance to physical deformation by externally applied loads
What are the 3 types of stress?
Tension
Compression
Shear
What is tension stress?
The force in matter which resists being pulled apart
Resists being stretched or elongated
Example: Tendons
What is shear stress?
That force in matter which resists the sliding of one layer of matter on another
Commonly known as friction
Example: joint surfaces sliding on one another
What is compression stress?
The force in matter which resists being pushed together
Resists being shortened or crushed together
Example: bones
What is strain?
The physical deformation of matter resulting from a load acting upon the matter
What are the 3 types of strain?
Tension
Compression
Shear
What is tension strain?
Elongation; muscle and tendon elongates as you place it under tension stress (eccentrics)
Wat is compression strain
Shortening or thinning; articular cartilage, bone (little bit of movement)
What is shear strain?
Movement of one layer on another; Ligament tearing, bone on bone rubbing at a joint
What is Youngs’ Modulus (E)?
A measure of material stiffness
The ratio of the stress (force) divided by the actual elastic strain (deformation)
Ε = σ / ε
What is the relationship between stiffness and material strength?
Stiffness does not equate to material strength
Chalk is stiffer, but steel is stronger
What is the relationship between the Modulus and Stiffness?
The larger the modulus, the stiffer the material
What is the hierarchy of Elasticity among bone, cartilage, muscle, and tendon?
In order of increasing deformity: Bone Tendon Cartilage Muscle
What is Hooke’s Law?
For each unit of strain, there is a proportional increase in the internal stress
What is Elasticity?
The stiffness and ability of an object to recover energy or work fro a material
the ability of a material to return to its original shape after being deformed
What is the difference between a resilient and damped response?
If the recovery to the original shape is rapid, it is termed resilient (billiard ball, ligament)
If the recovery is slow, it is termed damped (articular cartilage, some plastics, IV discs)
What are the 2 types of deformation?
Creep and Plastic
What is creep deformation?
The capacity of a material to undergo slow, progressive deformation in response to continuous pressure (loading); if you stretch a hamstring over time, it will appear to be a little longer
What is plastic deformation?
A strain of a material which is permanent and will not recover when stress is released; goal during hamstring stretching is to achieve plastic deformation, and that stretch stays permanently
What is an object’s proportional limit?
The point on the load/deformation curve at which the material’s elongation in shape changes from linear to non-linear. This is synonymous with the term “Hookean limit”
What is an object’s rupture point?
Elongation continues until the material finally breaks. The stress required for progressive deformation may actually decrease as the material progressively fails
What is an object’s ultimate strength?
The maximum stress a material will sustain before fracturing or breaking
What is the difference between brittle and ductile behavior?
Brittle behavior has no plastic deformation before the break point
Ductile behavior has plastic deformation before the break point
What are the characteristics of an object with perfectly elastic loading/unloading behavior?
Stresses applied are less than the ultimate strength
Within the tested range, this material did not plastically deform and had no proportional limit
What is the elastic limit?
The stress below which the material returns to its original length but above which the material plastically deforms
True or false: The elastic limit is not always the same as the proportional limit.
True
What is an object’s yield strength?
The stress at which a predetermined amount of plastic deformation occurs
For many engineering materials, what is the maximum allowed plastic deformation before it is considered damaged or compromised?
0.2%
True or False: For biological materials (tendons, ligaments, etc.), the maximum allowed % change is similar.
False
What is viscoelasticity?
Property of a material to show sensitivity to rate of loading (stress) over rate of deformation (strain)
What is the correlation to loading rate, deformation, and stiffness?
Higher loading results in greater stiffness, but lower loading results in greater deformation (silly putty)
What is hysteresis?
A lag or delay in the response to a change in force
What does the gray area on the hysteresis curve represent?
The work in versus the mechanical work out (Energy is los in the form of heat)
What is ranking order for the ultimate strength of bone?
Compression, Tension, and Shear (Decreasing Order)
What is the order for Bone Modulus of Elasticity?
Long Axis, 30, 60, and Transverse (Decreasing order)
Similar to pushing down on soda straws
What is resilience?
The rapid rate of a material returning to its original shape
What is damping?
The slow rate of a material returning to its original shape (IV discs, articular cartilage, fibrocartilage)
What is toughness?
Ability of a material to withstand impact or to absorb high levels of energy before fracturing (steel and glass balls dropped on the floor; glass has more stiffness than bone/steel, but it has less toughness)
What is friction?
The tangential force acting between two bodies in contact which opposes motion
The resistance of objects to being moved on other objects
What are the 3 factors of friction?
How tightly the two forces are pressed together (compression forces)
The types of material in contact with each other and the roughness of the surfaces
The velocity at which movement takes place
What is Amonton’s Law of Friction?
The force of friction is independent of the apparent bearing area
The force of friction is directly proportional to the applied load (eraser and book)
What is the difference between Static and Kinetic Friction?
Static Friction implies a non-slip condition
Kinetic Friction is characterized by a sliding of the contact surfaces
What is the equation for Static Friction?
fsmax = μs N
When does the maximal friction occur?
Right before slipping occurs
What is the equation for Kinetic Friction?
f = μk N
What is the direction of the Net Force in regards to the object?
Perpendicular to the surfaces
Describe the relationship between static and kinetic friction as the pulling force increases.
There is an equal and opposite force to the pulling force until the max static resistance of friction point is reached. After this point is reached, the object begins to move (max frictional resistance has been reached and it is turned into kinetic friction). The decreases a little bit, because speed and the kinetic friction curve are inversely related
What angle is equal to the coefficient of friction?
μ =Tan Θ
If the angle is increased, why does the weight begins to fall?
The orthogonal component of the object’s weight (Fs) is pushing the block down the plane, because it exceeded Fsmax
What is Fluid Viscosity (Fluid Friction)?
A measure of the resistance of a fluid to flow (fluid shearing stress)
High Viscosity: Honey
Low Viscosity: Water
What is Laminar Flow?
Slower flowing rates in which the fastest flow is in the middle and the outer-most aspects drag against the wall/edge
What happens when you increase flow rate of a Laminar flowing object?
The flow rate reaches a critical point, and then turbulence is caused, resulting in dramatically increased resistance
What are the two types of fluids?
Newtonian: behave as you would expect
Non-Newtonian: Thixotropic and Dilatant fluids
What are the components of a Newtonian fluid?
The shearing stress is proportional to the shearing rate
Greater speed leads to greater resistance
Ex: water