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# Biomechanics

### Angular Kinetics

Angle equivalent to mass? Moment of Inertia
Angular analogue to mass / inertia Moment of Inertia
what does it have resistance to? angular acceleration
what might affect a rotating object? Distance of mass to the axis of rotation
EX of distance of mass to the axis of rotation swing straight arm vs swing bent arm
Moment of inertia n I= ∑ m x d^2 i=1
Which axis is it easier to rotate the forearm? Longitudinal axis, supination/pronation
Values characterized by using the formula I = m x k^2
Radius of gyration (k) represents the objects mass distribution with respect to a axis of rotation
About which axis is the moment of inertia the smallest? Longitudinal - arms down
Angular momentum H = I x ω = (mk^2) x ω
Conservation of angular momentum will remain constant as long as there is no external torque(s)
If gravity is the ONLY external force and there is NO external torque Angular momentum is conserved
Is angular momentum a vector? yes
when a body is on the air, if the angular momentum of one body part is increased then all or part of the rest of the body must experience a decrease in angular momentum
while on the air angular momentum is conserved but it can be transferred
Angular impulse (I x ω)Before + ΣT∆t = (I x ω)After
Angular impulse ΣT∆t
1st law of angular motion A rotating body will maintain a state of constant angular motion unless acted upon by some net external torque
2nd law of angular motion A net external torque produces angular acceleration of a body that is directly proportional to the magnitude of the net torque, in the same direction as the net torque, and inversely proportional to the body’s moment of inertia (ΣT = I⍺)
3rd law of angular motion For every torque exerted by one body on another, there is an equal and opposite torque exerted by the second body on the first
Created by: rmart11