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Rotation of Rigid Bodies - Coggle Diagram
Rotation of Rigid Bodies
Angular Quantities
l=rθ
ω=dθ/dt
v=rω
α=Rω^2
a=Rα
Constant Angular Acceleration
ω=ω0+αt
θ=ω0t+1/2αt^2
ω^2=ω0^2+2αθ
Torque
τ=r⊥F
Rotational Inertia
I=mR^2
Determine I
I= ∫R^2 dm
Parallel-Axis Theorem
I=Icm+Mh^2
Perpendicular-Axis Theorem
Iz=Ix+Iy
Rotational Kinetic Energy
K=Iω^2
A rotating body contains both translational and rotational kinetic energy
Work done=τ dθ