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

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6 Apr 2015

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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