Rotational Dynamics Flashcards

Flashcards on Rotational Dynamics

Torque

The force's effectiveness in causing rotation, given by τ = rF sin θ.

Torque Equation

τ = rF sin θ, where r is the position vector length, F is the force magnitude, and θ is the angle between F and r.

Lever Arm

d = r sin θ

First Condition for Equilibrium

The net external force acting on the object must be zero.

Second Condition for Equilibrium

The net external torque acting on the object must be zero

Moment of Inertia

I = Σmr^2

Relationship between Torque and Angular Acceleration

ΣT = Iα, where ΣT is the net external torque, I is the moment of inertia, and α is the angular acceleration.

Translational to Rotational Equation Relation

a = rα

Rotational Kinetic Energy

KEr = (1/2)Iω^2, where I is the moment of inertia and ω is the angular speed.

Conservation of Mechanical Energy

(KEt + KEr + PE)i = (KEt + KEr + PE)f

Work-Energy Theorem with Non-Conservative Forces

Wnc = ΔKEt + ΔKEr + ΔPE

Angular Momentum

L = Iω, where I is the moment of inertia and ω is the angular speed.

Angular Momentum and Torque Relationship

Στ = change in angular momentum / time interval

Conservation of Angular Momentum

Li = Lf

Conservation of Angular Momentum Equation

Iiωi = Ifωf