L25/ 26 Flashcards
Angular Kinematics
A force that causes angular motion =torque
Torque
A force that is applied at a distance from the pivot point/ axis of rotation
-vector quantity has a magnitude and direction
Newtons First Law of Linear Motion is
The Law of Inertia
Angular Equivalent for Law of Inertia
It’s equal to moment of inertia: a bigger object will have a bigger mass
Moment of Inertia
A quantity that describes angular inertia
-an objects resistance to change in angular momentum
-represents the resistance to angular acceleration based on mass and the distance the mass is distributed from the axis of rotation
The heavier and longer an object is,
The more torque it can produce
A humans moment of inertia about any axis is:
VARIABLE
-body is not a rigid object
-the limbs move relative to each other
-
Distribution of mass along a vertical axis=
Small moment of inertia
Distribution of mass along a short axis=
Large moment of inertia
I= Zthing mk^2
I= moment of inertia about a given axis
Zthing m= summation of masses of the rotating segment
K= the segments mass distribution about the axis oof rotation
Steps to Calculate Moment of Inertia
- Calculate length of foot segment
- Calculate mass of foot segment
- Calculate radius of gyration of foot segment
- Calculate moment of inertia of the foot segment
Newtons 2nd Law of Motion
Acceleration (F=ma)
Angular Equivalent: T=Ia
T= net torque on a system
I= moment of inertia of a system
A= angular acceleration
Newtons Third Law of Motion
Action- Reaction (Force/ reaction Force)
Angular equivalent: action-reaction (torque/ reactive torque)
Net Torque
The effect of the sum of all torque vectores acting on a body is proportional to the change in angular velocity
Angular Momentum
The quantity of angular motion possessed by a body
-in kg m^2/s