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Math

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Equation sheet for Physics 211, Oregon State University available from
http://www.physics.orst.edu/ph211 in standard layout and this Triangle
notation form.
xf=x0+ v0t+1/2at2
vf=v0+ at
ax2 + bx +c =0
x = <−b ±√{b2 −4ac}?2a>
v=<dx?dt>
a=<d2x?dt2> =<dv?dt>
∑ϖF=mϖa
ϖa=<d|ϖv|?dt>ηθ−<v2?r>ηr
ϖr′=ϖr−ϖv0t
ϖv′=ϖv−ϖv0
ϖa′=ϖa
|ƒs|≤μs|ϖn|
|ƒk|=μk|ϖn|
|ϖA⋅ϖB|=|ϖA||ϖB|%cos(θ)
F=−kx
W=Fd%cos(θ)
W=∫){xi}({xf} Fx dx
K=1/2mv2
∑Wother−ƒk=Kf−KI
P=ϖF⋅ϖv=<dW?dt>
ϖp=mϖv
ϖp1+ϖp2=ϖp1′+ϖp2′
ϖI=∫){ti}({tf} ϖF dt
ϖrCM=<∑)i mi ϖri?M>
ϖrCM=1/M∫ϖr dm
ϖvCM=<∑)i mi ϖvi?M>
∑ϖFext=MϖaCM=<dϖptotal?dt>
s=rθ
Δθ=θf−θ0
ω=<dθ?dt>=v/r
α=<dω?dt>=<at?r>
θf= θ0+ ω0t+1/2αt2
ωf=ω0+ αt
I=∑)i mi ri2
I=∫r2 dm
KR=1/2Iω2
τ=Fd
∑τ=Iα
P=τω
|ϖA×ϖB|=|ϖA||ϖB|%sin(θ)
ϖA×ϖB≠ϖB×ϖA
ϖτ=ϖr×ϖF
ϖL=ϖr×ϖp
∑ϖτ=<dϖL?dt>=Iα
T=2 π/ω
ƒ=1/T
x=A%cos(ωt+φ)
Fg=<G m1 m2?r2>
U=<−G m1 m2?r>
ϖg=<ϖFg?m>
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