Unformatted text preview: ∑ ∑ = 2 1 ) ( ) ( i i i i v m v m Kinetic Equations of Motion ∑ = X G X ma F ∑ = Gy Y ma F 2 G G mk I = m I k G G = 2 md I I G axis + = ⋅ = ∑ G G I M ∑ ∑ = P K P M M ) ( Kinetic Moment. When translating (no rotation) α=0 but the Kinetic Moment is not zero ⋅ = ∑ G Pin I M Fixed axis rotation only. When G is the fixed axis , a G = 0. dt ds v = dt dv a = vdv ads = at v v + = 2 2 1 t a t v s s + + = ) ( 2 2 2 s s a v v+ = g a a y x= = j t g i t f t R ˆ ) ( ˆ ) ( ) ( + = n n t t a a u u a + = dt dv a vdv ds a t t / = = ρ 2 v a n = dt d = dt d = d d = ( 29 2 2 2 2 2+ = + + = + = c c c t t t r s = r a t = r v n r a 2 2 = = B B A A r r = B B A A B A r r v v = ⇒ = B B A A t B t A r r a a = ⇒ =...
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This note was uploaded on 02/09/2008 for the course IDE 140 taught by Professor Grantham during the Spring '06 term at Missouri S&T.
 Spring '06
 GRANTHAM

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