Newton's First Law of Motion (relating to angular motion)
Angular Inertia: The property of an object to resist changes in angular motion
I = mk2
Angular inertia depends upon mass distribution
Moment of inertia about eccentric axes
Ib = Icg + mr2
Moment of inertia in a runners leg
What is the benefit to having limbs that are tapered (The proximal ends are larger than the distal ends)?
Moment of inertia in cycling
What would be desriable in terms of bicycle wheel design (focus on inertia of the wheel I=mk2)?
of manipulating inertia (Calculation
Angular Momentum: H=Iω
Angular momentum in a non-rigid body can be estimated by:
H = ∑Iω
Angular momentum is conserved when no external torques are created on the body.
Angular momentum conservation requires H to be constant.
However, I and ω can change.
Newton's Second Law of Motion (relating to angular motion)
F=ma led to FΔt = mΔv
In angular motion, T=Iα leads to:
TΔt = IΔω
A change in angular momentum may result in:
Newton's Third Law of Motion (relating to angular motion)
- A change in angular velocity (hammer throw)
- A change in direction of the axis of rotation (bicycle wheel gyroscope)
- A change in moment of inertia
For every torque exerted by one object on another, the other object exerts an equal torque back on the first body but in the opposite direction
Carl Lewis long jumping (video)