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kinematics
description/characteristics of motion
examples of kinematics
displacement, velocity, acceleration
position
objects location in space relative to another object
distance
measured along total path traveled
diplacement
change from final and initial position
vector
magnitude and direction
vector example
velocity
speed
distance traveled/time
Is speed scalar or vector?
scalar
velocity
displacement/time
Is velocity scalar or vector?
vector
acceleration
change in velocity/cange in time
Is acceleration a scalar or vector quantity?
vector
instantaneous
velocity/acceleration at a particular instant in time
average
velocity/acceleration over an entire movement
rules of PVA
peaks become 0s, no slope = no change, inflections become peaks
angular motion
rotation around central line or point
t or f: in angular motion, different regions of the body all move at the same distance in same amount of time
false, they do not move at the same distance
angles
composed of 2 lines that intersect at a vertex
absolute angles
ang;e that describes segments orientation in space
Absolute Angles (segment angles)
The angle between a segment and the right horizontal of the distal end.
relative angle (joint angle)
angle between two segments
where do you place coordinate system of absolute angles
distal end point
goniometer
used by clinician for direct measurement of relative angles on a patient
angular distance
sum of all angular changes undergone by a rotating body
angular displacement
difference in initial and final positions of the moving body
angular speed
angular distance/time
what does σ represent in angular speed equation
angular speed
what does ϕ represent in angular speed equation
angular distance
angular velocity
change in angular position (displacement)/change in time
what does ω represent in angular velocity equation
angular velocity
what does θ represent in angular velocity equation
angular displacement
angular acceleration
change in angular velocity/time
what does α represent in angular acceleration equation
angular acceleration
what does ω represent in angular acceleration equation
angular velocity
in angular motion, moving counterclockwise is
positive rotation
in angular motion, moving clockwise is
negative rotation
radius of rotation
distance from axis of rotation to a point of interest on a rotating body
the larger the radius of rotation
the greater the linear displacement
what is the s in radius of rotation equation
distance traveled
what is the r in radius of rotation equation
points radius of rotation
what is the θ in radius of rotation equation
angular displacement through which rotating body moves
projectile
body in free fall that is subject only to forces of gravity and air resistance
what component is affected by gravity, vertical or horizontal
vertical
which component related to distance the projectile travels
horizontal
which component related to maximum height the projectile travels
vertical
what is the velocity of an object at the peak of a projectile
0
trajectory
the flight path of a projectile
how is trajectory displayed
parabolic curve
what are the 3 factors that influence trajectory
angle of protection, projection speed, height of projection
projection angle
direction of body/object is projected with respect to the horizontal
what if angle is perfectly vertical, what will happen to trajectory
trajectory is vertical
what if angle is perfectly horizontal, what will happen to trajectory
trajectory is 1/2 of parabola
what if angle is oblique, what will happen to trajectory
parabolic
projection speed
the magnitude of projection velocity
what does projection speed determine
length/size of projectile's trajectory
objects projected vertically, initial speed determines
height of trajectory apex
objects projected at oblique angles
speed determines the height and length of trajectory
vertical velocity
reduced by gravity, determines height of apex, affects time to reach apex
horizontal velocity
constant throughout flight
greater the velocity at takeoff
higher the jump - greater amount of time jumper is in air
projection height
difference between projection height and landing height
projection velocity and angle of projection are constant
longer flight time and greater horizontal displacement of projectile
projectile released and land at same height
time up to apex = time down from apex
projectile released from point higher than surface on which it lands
time up to apex less than time down from apex
projectile released from point below surface on which it lands
time up to apex greater than time down from apex
if profection height is 0, the angle of projection that produces maximum horizontal displacement is
45
biomechanics
application of mechanical principles in study of living organisms
statics
branch of mechanics dealing with systems in a constant state of motion
dynamics
branch of mechanics dealing with systems subject to acceleration
kinetics
examine forces acting on a system
qualitative
nonnumeric description of quality
quantitative
involving the use of numbers
2 types of motion
linear and angular
linear motion
movement along straight path
3 cardinal planes
sagittal, frontal, transverse
sagittal plane movements
flexion, extension, hyperextension
frontal plane movements
abduction, adduction, inversion, eversion
transverse plane movements
rotation, supination/pronation
stress
force applied to deform a structure
strain
resulting deformation
stress is
force per unit area
stress formula
𝜎 = F/a
strain is
ration of the change in length of a structure and its initial height
strain equation
𝜀=Δ𝐿/𝐿
elastic modulus
stiffness of material
yield point
slope decreases as force is increased
elastic region
region before yield point
plastic region
region after yeild point
failure
occur when stress is applied beyond plastic region
residual strain
difference between original length of material and resting length
elastic material
applied load is removed, material returns back to original length
viscoelastic materials
magnitude of stress being dependent on rate of loading
function of skeleton
support, attachment sites, leverage, protection, storage, blood cell formation
what is stiffness determined by
slope of curve in elastic region
difference between cancellous and cortical bone contribute to
anisotropy of bone
cancellous bone provides
bending and strength
cortical bone provides
significant compressive strength
articular cartilage
allows movement between 2 bones with minimal friction
fibrocartilage
improves the fit between bones