a location from which all measurements will be taken
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synonym of perpendicular lines
orthogonal lines
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biomechanics
the interdisciplinary science that applies the principles of mechanics to the study of biological systems
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kinematics
the branch of mechanics that deals with the %%**description of motion**%%
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kinetics
the branch of mechanics that studies the __**actions of forces**__ in producing or changing the motion of masses
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sagittal
aka. anteroposterior; a vertical plane passing through the body from front to back, dividing it into equal left and right halves
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frontal
aka. lateral or coronal; a vertical plane passing through the body from side to side, dividing it into anterior and posterior halves
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transverse
aka. horizontal; a horizontal plane passing through the body from side to side, dividing it into upper and lower halves
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center of mass (informal definition)
the intersection of the three cardinal planes
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fundamental standing position
anatomical position but arms are held to the side
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contralateral
pertaining to the opposite side
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inversion
lifting the medial border of the foot
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eversion
lifting the lateral border of the foot
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abscissa
distance along the x-axis away from the y-axis
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ordinate
distance along the y-axis away from the x-axis
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scalar
variables that possess only a magnitude
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vector
variables that contain both a magnitude and a direction
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point of application
the exact location at which a force is acting on a body
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line of action
a straight line extending infinitely in both directions from the line segment representing the vector
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law of transmissibility
vectors may be shifted along their line of action for the purposes of mathematical manipulation
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vector composition
replacing a vector system by a single vector, aka the addition of two or more vectors to form a single vector (the resultant) with the same physical interpretation
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vector resolution
the breakdown of a vector into two component vectors
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displacement
the difference in position between an object’s starting point and the object’s ending point; amount or size in change of position
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center of rotation
usually a joint, the spot that angular motion works around
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linear displacement
shortest distance between two points
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angular displacement
shortest angle between two points
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mass
quantitative measure of inertia
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inertia
an object’s inherent resistance to change its state of motion
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Newton’s first law
every body persists in its state of rest or uniform motion in a straight line unless it is compelled to change that state by forces impressed on it
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momentum
the quantity of motion an object possesses (kg \* m/s)
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Newton’s second law
the rate of change of momentum of a body is proportional to the applied force and takes place in the direction in which the force acts
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a force is equal to the rate of change of…
momentum
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center of mass
the balance point of the body in all three planes of motion
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center of gravity
where the cardinal transverse plane intersects the vertical axis
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what does a force platform measure?
forces along all three axes
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impulse
a measure of what is required to change the motion of an object (a vector quantity)
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Newton’s third law
to every action there is always opposed an equal reaction; or, the mutual action of two bodies upon each other are always equal, and directed to contrary parts
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gravitational attraction
all bodies attract one another with a force proportional to the product of their masses and inversely proportional to the square of the distance between them
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normal force
the force exerted by two objects orthogonal (perpendicular) to the contact surfaces between them
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limiting friction (Fs)
the limit of the force that can be applied to an object before movement begins to take place
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what causes limiting friction?
microscopic irregularities in the contact surfaces of the two objects
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what does limiting force measure?
the amount of force that two objects can produce to keep themselves from sliding across one another
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when a force applied to an object results in a displacement, ____ has been performed
work
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positive work
work performed in the same direction as the applied force
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negative work
work performed in the opposite direction of the applied force
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energy
the capacity to do work
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how can we express work in terms of energy?
it is the change in the sum of all forms of energy used by the body
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potential energy
energy an object possesses due to its position
mass (kg) \* height (m) \* g (m/s2) or Nm
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what is a joule?
a measure of energy
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kinetic energy
energy an object has due to its motion
1/2mv2
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mechanical energy
the sum of the potential and kinetic energies
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power
the measure of the rate of work performed
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coefficient of static friction
ratio of an object’s limiting friction to the normal force
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moment arm
the perpendicular distance (d)
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moment (or torque)
the turning effect of a force
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what are the two ways of calculating a moment?
1. the perpendicular component of a force \* the distance from its point of application to the center of rotation 2. F \* perpendicular distance from the point of application of that force to the center or rotation
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equilibrium
when the sum of all forces and moments action on a body are zero
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first class lever system
1. fulcrum is in the middle 2. changes direction of force 3. get out what you put in (equal)
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second class lever system
1. resistance force applied between the fulcrum and the effort 2. eccentric contraction 3. weight is the effort 4. get more than what you put in
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third class lever system
1. gives you range of motion 2. effort force applied between the fulcrum and the resistance 3. concentric contraction 4. get less than what you put in
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mechanical advantage
the ratio of the magnitude of resistance force overcome by a lever to the magnitude of the effort force applied
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moment of inertia
the measure of a body’s inherent resistance to alter its state of angular motion (angular velocity)
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angular momentum
the quantity of angular motion an object possesses
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law of conservation of angular momentum
the total angular momentum of a rotating body will remain constant unless acted upon by an external moment
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principle of levers
a lever of any class will balance when the product of the effort and the effort arm equals the product of the resistance and resistance arm
|E| \* EA = |R| \* RA
rearranged… (|E| \* EA) - (|R| \* RA) = 0
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coefficient of static friction
μs = Fs / N
\
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acceleration
a = vf - vi / t
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kinetic energy
Ek = 1/2mv2
half of the object’s mass multiplied by the velocity of the object squared
unit = joules (J) or Nm (newton-meters)
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potential energy
Ep = mgh
mass multiplied by the gravitational constant multiplied by height
Unit = joules (J)
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mechanical energy
Em = Ek + Ep
sum of the kinetic and potential energies
unit = joules (J) or Nm
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work (scalar)
W = F \* d
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power (scalar)
P = F \* d/t or W/t
unit = watts (w)
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work (angular)
W = M \* θ
rotational moment multiplied by the angular displacement
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power (angular)
P = M \* ω
rotational moment multiplied by the angular velocity
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momentum
M = mv
product of mass and velocity
unit = kg \* m
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force (momentum)
F = (mvf - mvi) / t
rate of change of momentum
units = newtons (N)
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impulse (equation)
Ft = mvf - mvi
change in momentum
unit = Nm, newton-meters
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gravitational force
F = G (m1 \* m2 / r2)
Unit = Newtons (N)
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moment
M = F x d (perpendicular) or F (perpendicular) x d
Unit = Nm (Newton-meters)
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mechanical advantage
MA = R/E
resistance force divided by effort force
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moment of inertia
I = mr2
the product of an object’s mass and the radius squared
unit = kg\*m2
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angular momentum
H = Iω
the product of a moment of inertia and angular velocity
unit = kg\*m2/s
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moment (angular)
M = Iα
product of the moment of inertia and angular acceleration