PHYSICS – basic concepts and equations
Math and vectors:
[pic]
Fx = F cosθ Fy = F sinθ
[pic] θ = tan–1(Fy/Fx)
[pic] [pic]
kinematics equations:
[pic]
[pic]
[pic]
(similar in y-, z-directions, with relevant ay, az)
[pic]
[pic] (G = 6.67 x 10 -11 N m2 / kg2)
w = mg
fk = μkN fs ≤ μsN
Fs = –kx
[pic] [pic]
v = 2π r/period ω = 2π/T freq = 1/T
[pic] [pic] [pic]
[pic]
[pic]
[pic]
[pic]
[pic]
L = I ω [pic]
I = mr2 (point mass and solid ring about its center)
I = ½ mr2 (solid disk about its center)
[pic] (solid sphere about its center)
Work & Energy
W = F d cosθ
KE = ½ mv2
PEg = mgh
gravity (general): [pic]
PEs = ½ kx2 (x from equilibrium)
Work-Energy Theorem: [pic]
Power = energy/time = rate of work being done
[pic]([pic]= “lever arm”)
translational equilibrium: [pic]
rotational equilibrium.: [pic]
Momentum
[pic] J = FΔt J = Δp
[pic]( if Fext = 0 )
“perfectly elastic collisions” = KE is conserved
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