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14 Cards in this Set

  • Front
  • Back

(1+x)^n

1+nx

E^x

1+x+(1/2!)x²

Ln(1+x)

X-1/2x²+1/3x³

Sinx

X-(1/3!)x³+(1/5!)x⁵

Cosx

1-(1/2!)x²+(1/4!)x⁴

Force equals

F=-du/dx=-kx


F=m(d²x/dx²)=-kx

Energy of shm

E=1/2kA²

Omega equals

W = 2πf = 2π/T

Pendulum physics

W = g/l T = 2π√l/g

W shm

W = rt(k/m)

Conservative force

Mixed partials are equal


W = §Fdr is path independent (0 on closed integral)


Potential energy function exists


F = -gradU

Non conservative force

Mixed partials not equal


W = §Fdr is path dependent


Potential energy function dne

Work

W = -U

Center of mass

Rcm = 1/M§rdm


Dm = lambda(ds)