Equation Sheet for Exam III

Calculus Physics I

Equation Sheet for Exam III

Circles

Dq ≡ q2 - q1

wave ≡ Dq/Dt and w ≡ dq/dt aave ≡ Dw/Dt and a ≡ dw/dt = d2q/dt2

s ≡ r q v = r w atang = r a arad = r w2 (centripetal)

a ≡ constant
q(t) = qo + wo t + ½ a t2
w(t) = wo + a t
w2 = wo2 + 2 a ( q - qo )

dI ≡ r2┴ dm or I = Si mi ri2┴ or I = ∫ r2┴ dm I|| = ICM + M h2

KROT = ½ I w2

t ≡ ± F r┴ tnet,ext = I a = dL/dt W = ∫t dq P = tw L = Iw

Wnet = DKROT

Ktot = KTRANSL + KROT

C = A x B |C| = |A| |B| sinq C = RH Screw Rule

tf

L ≡ r x p t ≡ r x F tnet,ext = dL/dt → DL = ∫ tnet,ext dt

ti

If tnet,ext = 0 then Li = Lf
or Ii wi = If wf

Gravity

Fg = GMm/r2 (attractive) g ≡ Fg/m g = -GM/r2 Ug = -GMm/r

DA/Dt = constant T2 = (4p2/GM) r3 E = 0 → vesc = √(2GM/R)