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# lecture29 - Centre of Mass Definition Total momentum of a...

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1 Physics 1D03 Serway 9.5, 9.6, 10.9 Centre of Mass • Definition • Total momentum of a system of particles • Motion of the centre of mass For practice: Chapter 9, problems 41, 43; Chapter 10, problem 77 Physics 1D03 Review: Newton’s Second Law For a particle: (Net external force) = m a For a particle or a system of particles: (Net external force) = d p /dt (Net external impulse) = Δ p

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2 Physics 1D03 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., Physics 1D03 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 Definition: or, r CM = dm M CM 1 r r For continuous objects,
3 Physics 1D03 Dynamics of a system of particles CM definition: = i i CM r r m

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lecture29 - Centre of Mass Definition Total momentum of a...

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