FORMULAS2 - I = 1 2 M R 1 2 R 2 2 Thin-walled hollow...

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FORMULAS CHAPTER 7: W = F cos ! ( ) s K = 1 2 mv 2 W total = ! K U grav = mgy U el = 1 2 kx 2 K i + U i + W other = K f + U f P av = ! W ! t P = Fv CHAPTER 8: ± p = m ± v ± F ! = lim " t # 0 " ± p " t ± P i = ± P f ± J = ± F ! t = ! ± p CHAPTER 9: = s r av = " # " t av = " " t = 0 + " t = 0 + 1 2 0 + ( ) t = 0 + 0 t + 1 2 t 2 2 = 0 2 + 2 "# $ 0 ( ) v = r a rad = r 2 a tan = r K = 1 2 I 2 I = m i ! r i 2 U = Mgy cm K total = 1 2 Mv cm 2 + 1 2 I cm 2 CHAPTER 10: = Fl = rF sin = I # W = " P = !" L = mvl L = I = " L " t # ± L i = ± L f ± F ! = 0 = 0 " QUADRATIC FORMULA ax 2 + bx + c = 0 ! x = " b ± b 2 " 4 ac 2 a PHYSICAL CONSTANTS g = 9.81 m/s 2
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MOMENTS OF INERTIA Rectangular plate ( a by b ), axis through center, perpendicular to plate: I = 1 2 M a 2 + b 2 ( ) Rectangular plate ( a by b ), axis along edge, Perpendicular to a , parallel to plate: I = 1 3 Ma 2 Solid cylinder, about cylinder axis: I = 1 2 MR 2 Hollow cylinder, about cylinder axis:
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Unformatted text preview: I = 1 2 M R 1 2 + R 2 2 ( ) Thin-walled hollow cylinder, about cylinder axis: I = MR 2 Solid sphere, axis though center: I = 2 5 MR 2 Thin-walled hollow sphere, axis through center: I = 2 3 MR 2 Slender rod, axis through center: I = 1 12 ML 2 Slender rod, axis through one end: I = 1 3 ML 2...
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This note was uploaded on 09/02/2010 for the course PHYS MERR1 taught by Professor Carter during the Spring '10 term at UMass (Amherst).

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FORMULAS2 - I = 1 2 M R 1 2 R 2 2 Thin-walled hollow...

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