Lect08-09 - p 3 Circlular motion: conditions R m For...

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Fall 2011 PHYS 172: Modern Mechanics Lect. 8&9 - Rate of Change of Momentum Read 5.1-5.7 1
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The Momentum Principle for components d ! p dt = ! F net d ! p dt = d ! p dt ˆ p + ! p d ˆ p dt ! F net = ! F || + ! F ! d ! p dt ˆ p = ! F || ! p d ˆ p dt = ! F ! p d ˆ p dt = F ! d ! p dt ! " # $ % || = dp dt = F || d ! p dt ! " # $ % ' = p v R = F ' Parallel component: Perpendicular component: A Direction of motion in point A d ! p dt 2
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The Momentum Principle for components d ! p dt = ! F net d ! p dt = d ! p dt ˆ p + ! p d ˆ p dt ! F net = ! F || + ! F ! d ! p dt ˆ p = ! F || ! p d ˆ p dt = ! F ! d ! p dt ! " # $ % || = dp dt = F || d ! p dt ! " # $ % ' = p v R = F ' Parallel component: Perpendicular component: A Direction of motion in point A d ! p dt d ˆ p dt = ! v R Rate of change of magnitude p Rate of change of direction of
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Unformatted text preview: p 3 Circlular motion: conditions R m For planets (assume sun is fixed) dp dt r m s Only perpendicular component for circle! 2 s mm v p G R R = Nonrelativistic: p mv ! 2 s mm v mv G R R = dp v p F F dt R ! ! " # = = = $ % & ' ! Condition for circular motion: 2 s m v G R = Condition for circular motion for planets 4 Initial conditions for circular motion 2 s m v G R = Condition for circular motion for planets slower faster 5...
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This note was uploaded on 12/07/2011 for the course PHYS 172 taught by Professor ? during the Fall '08 term at Purdue University-West Lafayette.

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Lect08-09 - p 3 Circlular motion: conditions R m For...

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