foundation of biomechanics Flashcards
Pythagoras theorem?
A^2 + B^2 = C^2
Formula for finding out angles and lengths in a right angled triangle?
SOH CAH TOA
How to label a triangle?
Hypotenuse will be the diagonal
Adjacent will be side next to angle which isn’t the hypotenuse
Opposite will be side opposite from angle you are looking at?
How can triangle formulas be used to find distance traveled by ball?
Draw right angle triangle, will be given angle and vertical velocity or horizontal velocity and just work it out using formula
Qualitative analysis is?
Description of movement
Requires experienced coach
Quantitative analysis?
Numerical evaluation based on data collected during motion
Allows assessment of aspects which can’t be observed eg. force
Removes subjectivity
What is kinesiology?
Scientific study of human movement
Mainly qualitative
What is biomechanics?
Considered to be more quantitive
Derived from mechanics, involves motion and effect of forces on living organisms
2 types of motion present in human movement or object propelled by a human?
Linear (translational) - motion along a straight or curved pathway in which all points on a body/object move the same distance in the same amount of time
Angular - motion about a given point so that different regions of the same body part/region do not move through the same distance in a given time.
What is kinematics?
Characteristics of motion from a spatial and temporal perspective
Without references to forces causing the motion
Variables of interest are therefore position, velocity and acceleration
What is kinetics?
Area of study that examines forces acting on a system (human body or an object)
The forces can be external (ground reaction force)
Internal (muscle and bones)
What’s a static system?
Systems that aren’t moving, or moving at a constant speed
So it’s in equilibrium
What’s a dynamic system?
Systems that are being accelerated
What’s sagittal plane?
Cut through the middle of pecs
What’s transverse plane?
Cut through belly button (rubber ring around you)
What’s frontal plane?
Cut across shoulders
What’s rectilinear translation?
Body travels in a straight path
What’s curvilinear translation?
Body travels in a curved path
What is the sampling frequency?
Number of pictures per second (frames/fields)
Units = Hz
What is digitisation?
Giving selected points numerical values allowing linear and angular displacements of joints and anatomical landmarks to be determined
This allows the calculation of velocities and accelerations
Effectively turns a qualitative video into a quantitative one
What is scaling?
Conversion of measured distance into real units
To work this out from screen to reality
Find out what 1mm is on the screen in metres by dividing in reality by mm on screen
Then multiply what your value is by the amount of mm if you asked a different length
Always make sure answer is in metres
Difference between distance and displacement?
Distance is the length of the path that it follows
Where as displacement is the length of a straight line joining its initial and final positions, taking note of the direction of this line
What is speed?
speed = distance / time
Scalar quantity
What is velocity?
How fast an object moves and in which direction
Velocity = displacement / time
So velocity = change in position / change in time
Vector quantity ( magnitude and direction)
Equation for the first central difference method?
Vx2 = (x3 - x1) / (t3 - t1)
Essentially velocity = (Final x position - starting x position) / (final time - initial time)
units of velocity is m/s or m.s^-1
Use values either side of the one your trying to find at a specific time point
With new values for velocity can do this again to find out acceleration
What is acceleration?
a = change in velocity / change in time
So basically = (final velocity - initial velocity) / (final time - initial time)
Units are m.s^-2
What is uniform acceleration?
Rate of change of velocity is constant
So acceleration is constant
Value of gravity?
9.81 m.s^-2
Equations for uniform acceleration?
u= initial velocity v = final velocity s = displacement of the object a = acceleration t = time
v = u + at v^2 = u^2 + 2as s = ut + 0.5at^2
Does mass influence motion in flight?
NO
If an object is moving upwards it’s acceleration is and if it’s moving downwards?
a = -g = -9.81 m.s^-2
Air resistance assumed to be negligible
a = g = 9.81 m.s^-2
Theory on motion of flight?
An object will take the same amount of time to reach max height to then reach floor again
Time up = time down
When an abject is in flight do we consider the vertical and horizontal components separately?
Yes
Equations apply to both
How to answer a question when you need to use horizontal and vertical velocity?
Work out flight time, using vertical component
Work out with acceleration, initial velocity and the final velocity being 0, but remember need to multiply the flight time by 2 to find full value
Now can work out the unknown you want
What is the resultant velocity composed of?
Vertical and horizontal velocity
Worked out with Pythagorus and SOH CAH TOA
What angle in theory gives optimum range in a projectile?
45 degrees
What does a greater vertical velocity component consist of?
Greater Height
Greater flight time
Greater range
What does a greater horizontal velocity consist of?
Same height
Same flight time
Greater range
What is inertia?
The resistance of a body to motion