Mechanics and Particle Dynamics - Final Formula Sheet | PHYS 161, Study notes of Physics

Download Mechanics and Particle Dynamics - Final Formula Sheet | PHYS 161 and more Study notes Physics in PDF only on Docsity!   v = d r dt   a = d v dt   vav = Δ r Δt   aav = Δ v Δt  Δ r = vdt∫  Δ v = adt∫   vA/C = vA/B + vB/C  vx(t) = v0x + axt  x(t) = x0 + v0xt + 1 2 axt 2   vx 2(t) = v20x + 2ax x(t)− x0( )    F∑ =ma  fk = µkN  fs ≤ µsN  fr = µrN  Fg = w =mg  PEg =Ug =mgy  Fsp = −kx  PEsp =Usp = 1 2 kx2   FG = GMm r2   g(r) = Gm r2   PEG(r) =UG(r) = − GMm r  KE = K = 1 2 mv2  Wtotal = Δ(KE) = 1 2 mv2 2 − 1 2 mv1 2   W =  F i ds a b ∫ = Fcosθa b ∫ ds  W =  F i  d = Fdcosθ   P = dW dt = dE dt =  F i v   ΔU = −W = −  F i ds 1 2 ∫   F(x) = − dU(x) dx  TE = KE + PE = constant  E = K +U = constant   θ = s r   ω = dθ dt   ω = v r   f = 1 T = ω 2π   α = dω dt = d 2θ dt2   α = atan r   atan = d v dt   arad = v2 R =ω 2R = 4π 2 T 2 R    τ = r ×  F    τ∑ = d  L dt    τ∑ = I d  ω dt  τ = Iα   τ = r⊥F = rF⊥    L = I  ω    L = r × p   L = r⊥p = rp⊥    Ltot = rCM ×M vCM + ICM  ω  I = miri 2∑  Iaxis = ICM +Md2  I =CMR2  Krot = 12 Iω 2  Ktot = 1 2 Mv2CM + 12 Iω 2   p =mv    F = dp dt ∑    J =  F dt∫ = Δ p   vAi − vBi = vAf − vBf   ax2 + bx + c = 0  ⇒  x = −b ± b 2 − 4ac 2a  C = 2πr  A = 4πr 2  A = 2πrh  A = πr 2  V = 4 3 πr3  V = πr 2h g  =  9.8  N/kg  =  9.8  m/s² G  =  6.67×10−11  N-­‐‑m²/kg² 1  lb  =  4.45  N 1  m  =  3.28  feet   1  m/s  =  3.6  km/h   1  m/s  =  2.237  mph 1  rpm  =  1/60  Hz  =  0.1407  rad/s   1  L  =  1000  cm3 Possibly  Useful  Information Physics  161,  Spring  2012 Final  Exam  Formula  Sheet 1