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Static Equilibrium
ΣFₓ = 0, ΣFᵧ = 0, Στ = 0
Angular Momentum
L (kg m²/s)
Equation for Angular momentum (point mass)
L = r x p (sinθ)
equation for p in Angular momentum equation
p = mv
Equation for Angular momentum (rigid object)
L = (i)(ω)
Impulse-Angular Momentum Theorem
ΔL = (Στ)(Δt)
Right hand rule
point from r to F
Directions:
Out of page = positive; into page = negative
Steps to calculate net torque
1. pick an axis
2. calculate individual torques from axis
3. Find directions of torques
4. Add torques together
sin or cos?
Torque = sinθ; work = cosθ; angular momentum (L) = sinθ
Simple Harmonic Motion (SHM)
cyclical motion caused by a restoring force or a restoring torque that is proportional to the displacement from equilibrium.
Equation for SHM
ΣF = -kΔx; Στ = -kΔθ
Simple Harmonic Oscillator (SHO)
a system that undergoes simple harmonic motion
Rotational Kinetic Motion
Kᵣ = (1/2)(i)(ω²)
