equations05su - Useful Equations for Physics 211 vav x x t...

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Useful Equations for Physics 211 Last Updated 7/18/07 t x x av v = _ dt r d v x = t v x av x a = _ dt v d a = t a v v x ix fx + = t v v x fx ix + = ) ( 2 1 2 2 1 t a t v x x ix + = x a v v x ix fx + = 2 2 2 t av = θ ϖ dt d θ ϖ = t av = ϖ α dt d ϖ α = t i f + = α ϖ ϖ t f i + = ) ( 2 1 ϖ ϖ θ 2 2 1 t t i + = α ϖ θ θ α ϖ ϖ + = 2 2 2 i f T r v π 2 = ϖ π rad 2 = T 2 2 ϖ r a a r v r c = = = α r a dt v d t = = θ = r s ϖ r v = α r a t = dt p d a m F x = = ( 29 t p av F = A on B B on A F F - = w = mg N f s s μ N f k k μ = x k F Spring - = | F spring | = k | x | r F r m Gm grav ˆ 2 12 2 1 - = 2 12 2 1 r m Gm grav F = dt L d I x x = = α τ ( 29 t L av = τ A on B B on A τ τ - = F r x x x × = τ Fd rF = = φ τ sin A B B P A P v v v + = V m = ρ dx dU x F - = = i i i r m I 2 points = dm r I 2 2 Md I I CM + = v m p x x = f tot i tot P P _ _ s s = cm tot tot v M P x x = ( 29 Σ = - = f i t t i f dt F p p J p r L x x
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