F09+Exam+1+(sample) - ES 2120 Exam 1 Equation Sheet...

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ES 2120 Exam 1 Equation Sheet Cartesian Coordinates k z j y i x dt v d k a j a i a a k z j y i x dt r d k v j v i v v k z j y i x r z y x z y x ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ + + = = + + = + + = = + + = + + = Normal & Tangential Motion n t n n t t t t u v u dt dv u a u a a u dt ds e v v ˆ ˆ ˆ ˆ ˆ ˆ 2 + = + = = = ρ Radius of curvature, ρ + = 2 2 2 3 2 1 dx y d dx dy Polar Coordinates (2-D) ω α θ r r r r a r dr dv v r r a u a u a a u r e r u v u v v u r r r r r r r r r r r 2 2 with ˆ ˆ ˆ ˆ ˆ ˆ ˆ 2 2 + = + = = = + = + = + = = Equivalent Acceleration Expressions d d dt d ds dv v dx dv v dt dv a = = = = = Uniform Accelerated Motion Expressions ) ( 2 ; ; 2 1 ) ( 2 ; ; 2 1 2 2 2 2 2 2 o o o o o o o o o o t t t x
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This note was uploaded on 12/08/2010 for the course ENGINEERIN 2120 taught by Professor Kobbe during the Spring '10 term at Univeristy of Wyoming- Laramie.

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F09+Exam+1+(sample) - ES 2120 Exam 1 Equation Sheet...

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