midterm 2 Flashcards
angular position (normal, absolute, and relative)
angular position: orientation of a line with another line or plane
absolute: angle of a single body segment with respect to a known vertical or horizontal
relative: angle of one segment relative to another.
specifically the angle between longitudinal axes of two segments
absolute segment angles
calculated using the trigonometric relationship: tangent= opposite over adjacent
to calculate absolute leg angle: proximal segment coordinate values are subtracted from the distal end coordinate values
the ratio of y to x defines the tangent of the angle
relative angles how to calculate?
law of cosine: side of the traingle that dont contain a right angle
axis rotation
rigid body
axis rotation: fixed line about which a rigid body rotates
always perpendicular to its plane
sagital ml
frontal ap
transverse lognitudinal
rigid body: a body that maintains a constant shape when rotated (bones)
right hand rule
clockwise is negative
counterclockwise is positive
angular distance vs displacement
angular distance: sum of all angular changes (scalar)
angular displacement: difference between the final and initial positons (vector)
linear vs angular displacement
when an object or rigid body rotates, it undergoes both linear and angular displacement
linear displacement of a point on a rotating object or rigid body is directly proportional to the distance that point is from the axis of rotation
greater the radius: greater the linear displacement
linear is related to angular but not proportional to it
angular speed vs velocity
angular speed: is the angular distance travelled per unit of time (scalar)
angular velocity: charaterized by the Greek letter omega (w), is a vector quantity that desribes the time rate of chnage of angular position (rad/s or degrees/s or rpm)
angular velocity= angular displacement divdied by time
angular acceleration
angular acceleration= a greek letter alpha
rate of change in angular velocity measured in radians per second squared (rad/s 2) or in degrees per second squared
a= w/t
angular kinematics
angular motion occurs when all parts of the body move through the same angle but do not undergo the same linear displacement
the subset of kinematics that deals with angular motion is angular kinematics, which describes angular motion without regard to the causes of the motion
unit of measurement (degreee, revolution/ # of rotations, radian)
degree: one circle/one complete= 360 degrees
revolution/# of rotations: one circle= one revolution
radian: one circle= 2 pie radians
1 rad= 57.3 degrees
force
vector quantity: magnitude and direction
what does it do? a force involves the interaction of two objects and can produce a change in the state of motion of an object by pushing or pulling it
force= mass x acceleration
unit: newton (N)
1N= Amount of force it takes to accelerate a 1kg body at 1m/s 2
often represented as a ratio of force to body weight (BW)= %BW
newtons three laws of motion
1) law of inertia: a body will remain at rest or continue to move with a constant velocity unless acted upon by an outside force
inertia: used to describe an objects resistance to motion and is directly related to the mass of a object
newtons second law
law of acceleration:
f=ma explains the effect of the net force
net force= mass x acceleration
unit of force is newtons (N)
* a force applied to a body causes acceleration of that body:
of a magnitude proportional to the force
in the direction of the net force ex) tug o war
and inverslet proportional to the bodys mass
Newtons 3rd law: action/reaction
for every action there is an equal and opposite reaction
force always acts in pairs
these paired forces are equal and opposite
jumping off the ground
indvidual exerts force on ground
ground exerts force on the individual
inertia what is it?
how to overcome it?
used to describe an objects resistance to motion and is directly related to the mass of an object
inertia your acceleration will be 0 due to having a constant velocity
overcome inertia, to get something to move, the force needs to be greater than the inertia/mass of object
if this occurs, the object will be accelerated in the direction of the applied force
momentum
momentum (P): the quantitiy of motion of an object
product of the objects mass and linear velocity
the faster an object moves with more mass, the greater the momentum
p=m x v
accleration
a force applied to the body causes an acceleration of the body
of a magnitude proportional to the force
amount force applied= amount acceleration felt on object
in the direction of the net force
and inversely proportional to the bodys mass
rearranging newtons second law (acceleration)
F= ma
f= m x v/t
f= m x v / t
p= m x v
force is equal to to the time rate of change of momentum
conversion of momentum
in the absence of external forces momentum is constant
only external forces will change the motion of a system
example
two people colliding but not bouncing off each other
means both momentums would equal 0 because momentum before would be the same as momentum after
impulse
linear impulse is the product of a force and the time interval over which a force acts
change in linear momentum
I= Ft
I= P2-p1 or m2v2 - m1v1
tangential vs centripetal
tangential: acceleration tangent to the rotation segement
centripetal: acceleration along the segement towards the axis