PHYSICS – basic concepts and equations



Math and vectors:

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Fx = F cosθ Fy = F sinθ

[pic] θ = tan–1(Fy/Fx)

[pic] [pic]

kinematics equations:

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(similar in y-, z-directions, with relevant ay, az)

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[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]

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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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