formulas - =-k ‘-‘ Circular motion a in = v 2 r...

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Formula Sheet Velocity: ~v = d~ r dt ~v AC = ~v AB + ~v CD Momentum and center of mass: ~ r cm = 1 M ( m 1 ~ r 1 + m 2 ~ r 2 + ··· ) , M = m 1 + m 2 + ··· ~ p = M~v cm ~ F net = d~ p dt Energy: E = K + V K = 1 2 mv 2 F x = - dV dx V grav = - GMm r mgh + const V spring = 1 2 k ( r - r 0 ) 2 dE = ~ F net · d~ r Rotation: v = ωr, K rot = 1 2 2 , I = X i m i r 2 i = Z dmr 2 K rot cm = 1 2 Mv 2 cm + 1 2 2 cm Angular momentum and torque: ~ L point = ~ r × ~ p L rigid rot = ~ L = ~ L cm + ~ L rot cm ~ τ = ~ r × ~ F d ~ L dt = ~ τ net
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Newton’s laws: ~ F net = m~a cm ~ F AB = - ~ F BA Friction and springs: f = μN F spring
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Unformatted text preview: =-k ( ‘-‘ ) Circular motion: a in = v 2 r Constant acceleration: v = v x + a x t x = x + v x t + 1 2 a x t 2 v 2 x = v 2 x + 2 a x ( x-x ) Simple harmonic motion: d 2 x dt 2 =-ω 2 x ⇒ x ( t ) = A cos( ωt + ϕ )...
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This note was uploaded on 03/01/2012 for the course PHY 9HA taught by Professor Markusluty during the Fall '10 term at UC Davis.

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formulas - =-k ‘-‘ Circular motion a in = v 2 r...

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