PHY 222 Lecture Notes - Lecture 1: Perpendicular Axis Theorem, Parallel Axis Theorem, Rotating Reference Frame
Newton's second law
F=ma
Newton's third law
Every action has an equal and opposite reaction
Position of centre of mass of rigid body
rcm = integral of xdm/integral dm
Coriolis Force
Fcor=-2mwo x v
Gyroscopic precession
omega = T/L=mgr/Iw
Radial component of acceleration in inertial reference frame
-rw^2
Centrifugal force
When in rotating reference frame, F=mv^2/r
Rotational kinetic energy
K=0.5Iw^2
Perpendicular axis theorem
Iz=Ix+Iy
Parallel axis theorem
I=Icm+Md^2
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