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Biomechanics
the application of mechanical principles in the study of living organisms; examining the forces acting on (external) and within (internal) a body, and the effects of these forces
Mechanics
a branch of physics that analyzes the action of forces and particles of mechanical systems
Rigid body
a system of particles (i.e., a body) which does NOT deform
Rigid body mechanics
application of mechanical principles to a rigid body or system of rigid bodies
Elasticity
the propensity of a material to return to its original shape when deformed
Plasticity
propensity of a material to undergo permanent deformation when loaded
Viscoelasticity
material exhibits both viscous and elastic characteristics when deformed (i.e., dependent on loading rate)
Fluid mechanics
application of the principles of mechanics to fluids (liquid and/or gases)
Rectilinear
linear motion along a straight line (ex., running)
Curvilinear
linear motion along a curved line (ex., long jump)
Linear motion
motion along a line with all parts of the body moving the same distance in the same direction at the same time
Angular motion
all parts of the body move in a circle about a central line or point (axis of rotation)
Length
unit = meters (m)
Mass
unit = kilograms (kg)
Time
unit = seconds (s)
1 in
= 2.54 cm
1 mi
= 1.61 km
1 lb
= 4.45 N
Kilo
= 1000 =10^3
Centi
= 0.01 = 10^-2
Milli
= 0.001 = 10^-3
Axis of rotation
Imaginary axis the object is spinning about; perpendicular to the plane of motion.
Order of operation
PEMDAS.
Isolate x
Isolate x on one side of the equation.
Unit conversions
Perform unit conversions between common biomechanical units.
Common biomechanical units
Cm, m, km, ft, mile.
Trigonometry
Calculate unknown variables using trigonometry.
SOH-COA-TOA
Sin = SOH, Cos = COA, Tan = TOA.
Pythagorean theorem
A^2 + B^2 = C^2.
Kinematics
Descriptions of motion WITHOUT references to force causing the motion.
Linear kinematics
Is the kinematics of a particle, object, or system undergoing linear motion.
Vector
A quantity that has both direction and magnitude.
Linear displacement
Describes a change in linear position.
Distance
(scalar) Length of path.
Displacement
(vector) Difference between initial and final positions, independent of path 'as the crow flies'.
Speed
The rate at which a body moves from one position to another; scalar.
Velocity
The rate at which a body moves from one position to another; vector.
Linear velocity
Describes the ratio of change of linear or angular position with respect to time.
Linear acceleration
Rate of change of linear or angular velocity with respect to time.
Movement efficiency
The ratio of the magnitude of displacement to the distance traveled
Calculate movement efficiency
ME = displacement/distance = (unitless answer).
Acceleration
Rate of change of linear or angular velocity with respect to time.
Instantaneous velocity
Specifies how fast and in what direction one is moving at one particular point in time; the magnitude of instantaneous velocity is exactly the same as instantaneous speed.
Breaking
Magnitude and velocity decrease; object slows down or decelerates.
Propulsion
Magnitude and velocity increases; object speeds up or accelerates.
No acceleration
Constant velocity, ex, cruise control.