Physics 191 – Formula Sheet d = vi t + ½ a t 2 θ = ωi t + ½ α t2 d = ½ (vf + vi) t θ = ½ (ωf + ωi) t vf = vi + a t vf2 = vi2 + 2 a d ωf = ωi + α t ωf2 = ωi2 + 2 α (θ) ΣF = ma v2 aR = R Ffr = µk FN Στ = I α Ffr ≤ µs FN vT = Rω; K K K v AC = v AB + v BC s = Rθ v= τ = r F sin θ aT = Rα 2πR T ρ= W = F d cos θ PE = mgh Wnc = ∆KE + ∆PE I = m1r12 + m2r22 W t AMA = η= Fout Fin m V W=τθ m x +m x xcm = 1 1 2 2 m1 +m 2 ρ A x +ρ A x xcm = 1 1 1 2 2 2 ρ1A1 +ρ 2 A 2 A x +A x xcm = 1 1 2 2 A1 +A 2 KE = ½ m v2 + ½ I ω2 P= vrolling = Rω I & = I CM + Mh 2 Pout x100% Pin eff = η = IMA = d in d out AMA IMA d3 Sine/Cosine Law sin θ1 sin θ 2 sin θ 3 Sine Law: = = d1 d2 d3 Cosine law: d1 = d 2 + d3 − 2d 2 d3 cos θ1 2 2 2 θ2 θ1 d2 d1 θ3
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