# lecture27 - Centre of Mass Definition Total momentum of a...

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Serway and Jewett 9.6 - 9.7 Centre of Mass Definition Total momentum of a system of particles Motion of the centre of mass

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Review: Newton’s Second Law For a particle: (Net external force) = m a For a particle or a system of particles: (Net external force) = F = d p /dt (Net external impulse) = I = p
Apply Newton’s Laws to objects that are not particles: F or F How will an extended body move (accelerate) when a force is applied at an arbitrary location? The motion of the centre of mass is simple; in addition, various parts of the object move around the centre of mass. e.g.,

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M m m m i i i i i CM r r r Σ = Σ Σ = (Recall the position vector r has components x, y, z.) x CM m 1 m 2 m 3 Centre of Mass = i i CM r r m M Recall: Definition: or, r CM = dm M CM 1 r r For continuous objects,
Dynamics of a system of particles CM definition: = i i CM r r m M Differentiate with respect to time: total m M = = p v v i i CM The total momentum of any collection of particles is equal to the

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## This note was uploaded on 02/09/2012 for the course PHYSICS 1D03 taught by Professor N. mckay during the Spring '08 term at McMaster University.

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lecture27 - Centre of Mass Definition Total momentum of a...

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