equation_sheet_final

equation_sheet_final - PHYS 121 Equation Sheet Final...

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Unformatted text preview: PHYS 121 Equation Sheet Final Constants: g = 9.81 m/s2 G = 6.673 10-11 N m2 /kg2 c = 2.998 108 m/s Formulas: v= x t t v= dr dt d dt a= v t a= dv d2 r = 2 dt dt d d2 = 2 dt dt Constant a0 : = v = v0 + a0 t = Constant 0 : = 0 + 0 t 1 x = x0 + v 0 t + a 0 t 2 2 = t 1 = 0 + 0 t + 0 t2 2 f k = k N Fspring = -kx F =- rcm = j 2 v 2 - v0 = 2a0 (x - x0 ) = 2 2 - 0 = 20 ( - 0 ) A B = AB cos = Ax Bx + Ay By + Az Bz Fg = mg 1 K = mv 2 2 Ug = mgy W = F ds fs,max = s N 1 Uspring = - kx2 2 Wcons = -U = - mj j dU dx F ds mj j Wnet = K = Wnc - U pcm = mvcm I= IP = j mj rj ar = ac = vcm = j mj vj Fnet = dpcm = M acm dt F dt = p = 2f 2 2 mj r,P,j = Icm + M r v2 = 2r r 1 2 T = = f 1 KP = IP 2 2 at = r = RF sin = I 1 2 Isolid sphere = mR2 Ithin rod = mL2 5 12 A B = AB sin W = L 1F = L Y A GM m Fg = - 2 r ^ r 1 Kcirc = - U 2 v =r LP = IP = mvr sin 1F x = h SA GM m Ug (r) = - r 1 Ecirc = U 2 1 Isolid cylinder = mR2 Ihollow cylinder = mR2 2 dL L=rp =rF = dt 1F V =- V BA 4 2 3 T2 = a GM GM vcirc = r vesc = 2GM r x + 2x = 0 = k m vmax = A = g l amax = 2 A = mgd IP x(t) = A cos(t + ) F (t) = F0 cos(d t) = A= 2 - b 2m 2 b k bt x + x + x = F (t) x(t) = A exp - m m 2m 1 1 E = kA2 = m 2 A2 2 2 y(t) = A cos(kx t + ) cos( t + ) E = k= 2 2 E Q F0 Q k v = = f k $Date: 2007-05-06 16:24:43 $ 2 ...
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equation_sheet_final - PHYS 121 Equation Sheet Final...

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