lecture19

# lecture19 - Center of mass dri M 1 1 d mi ri P p i mi v i...

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Center of mass  i i i i i i ii i i i i i i r m M d dt M r m d dt dt r d m v m p P 1 1 i i m M i i i cm r m M r 1 cm v M P cm i ext a M dt P d F F i i i cm cm v m M dt r d v 1 dt v d a cm cm

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Equal Masses: in the middle Unequal Masses: closer to heavy one m 1 m 2 d 1 d 2 d 1 :d 2 = m 2 :m 1 Inverted ratio! A triangle of equal masses Connect each corner to the center of the opposite side Triangle of unequal masses Connect each corner to the center of masses of the two other masses Some basic properties of the CM
1kg 2kg 1kg 2kg C of M C of M Continuous mass distribution i i i cm r m M r 1 dr r m M r cm ) ( 1 i i m M dm M dm Some basic properties of the CM Symmetry: The CM need not be inside the object!

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## This note was uploaded on 10/21/2010 for the course PHYS 221 taught by Professor Herrera-siklody during the Fall '08 term at Iowa State.

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lecture19 - Center of mass dri M 1 1 d mi ri P p i mi v i...

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