Lecture 10 - Momentum

# Lecture 10 - Momentum - p p p p mv m p p p m m m = = = ur...

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Momentum

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Single body If 0, constant d p F dt F p = = = ur ur ur ur
( 29 12 21 1 1 2 2 Two bodies 0 Total constant provided no external forces F F d m v m v dt p = - + = = ur ur ur

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( 29 , , , , Any number of bodies 0 0 Total momentum is conserved i j k l l k i j i i i F F F d m v dt = + + + + = = ur ur ur L L L
If constant constant i i i i i i m v d m r dt = = ur ur

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Define i i i i i M m M R m r = = ur ur
constant Velocity of center of mass = constant i i i d R d M m r dt dt = = ur ur

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i i i M R r m rdm = = ur ur r

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1 2 1 2 0 0 b b a a p p p p + = + = ur ur ur ur
0 1 2 2 2 2 2 2 0 1 2 1 2 2 2 2 2 Pythagorian triangle

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Unformatted text preview: p p p p mv m p p p m m m = + = = + ur ur ur ( 29 ( 29 2 1 2 1 2 2 2 1 2 1 2 2 2 2 1 2 1 2 2 and so p p p p p p p p p p p p p p = + ⋅ + = + + ⋅ = + ⋅ = ur ur ur ur ur ur ur ur 1 2 2 1 Perpendicular OK but also 0 complete mess 0 transfer p p p p ⋅ = = = ur ur ur ur...
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Lecture 10 - Momentum - p p p p mv m p p p m m m = = = ur...

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