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

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Physics 1D03 - Lecture 16 1 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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Physics 1D03 - Lecture 16 2 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
Physics 1D03 - Lecture 16 3 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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Physics 1D03 - Lecture 16 4 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 Centre of Mass = i i CM r r m M Recall: Definition: or, r C M = dm M CM 1 r r For continuous objects,
Physics 1D03 - Lecture 16 5 Dynamics of a system of particles CM definition: = i

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## This note was uploaded on 11/08/2010 for the course PHYSICS PHYSICS 1D taught by Professor Mckay during the Spring '09 term at McMaster University.

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

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