# PHYS 17200 Lecture Notes - Lecture 19: Angular Momentum, Cross Product, Angular Velocity

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Professor PHYS 17200 - Modern Mechanics - Lecture 19_Angular Momentum
Angular Momentum: Principle Definitions
Will give us another, independent equation that helps us to solve for ωf and ∆Ethermal
Angular momentum of a particle relative to location :
○ LA = rA * p * sin(theta)
○ LA = rA X p ← Cross product
Use right hand rule
Rotational Angular Momentum
I = m1r2 + m2r2 + m3r2 +m4r2 + …
○ Lrotational = I * ω = (Inertia * angular velocity)
analogous to: p = m*v
○ Lrotational = r1 x p1 + r2 x p2 + r3 x p3 + ...
Translational Angular Momentum
○ Ltranslational = rcm x p (cm = center of mass)
Rotational Kinetic Energy
● Krotational = ½ * m * ωi2
Energy of a rotating object in motion
Can be affected by two components as listed above: Rotational Angular Momentum and
Translational Angular Momentum
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