Rigid Body Kinetics Flashcards
Why do we keep moving coordinate system fixed to the body?
So the mass moments of inertia are constant in time
What is the moment of a point on a rigid body?
Moment of center of gravity + Moment of point around center of gravity
What is angular momentum of point on a body?
Angular momentum of center of mass from reference + angular momentum of point from center of mass
What is I_xx
Axial mass moment of inertia around x
What is I_xy
Deviation moment of inertia around x
What are the deviation moments of inertia for a symmetrical body?
0
What are properties of inertia tensor?
Positive definite
Symmetric
What does positive definite mean?
All Eigenvalues are positive
What is Steiner Theorem useful for?
Transfering mass moments of inertia to a different reference system
What is a condition fir steiner theorem?
The axes remain parallel to old system
One of the points is the center of gravity
Where is mass moment of inertia the smallest?
At the center of gravity
What kind of matrixes can be diagonalized?
Symmetric
