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Unformatted text preview: zaxis ⊗ cm r r dm r r 6 Ex: (1dimension) Find the position of the center of mass of a thin homogeneous rod of length L and mass M. (ex: a meter stick) ∫ ∫ = dm dm x x cm the linear mass density λ is: length mass = λ x m = x m = so dm = λ dx ∫ ∫ = dx dx x x cm (limits?) xaxis dm x M, L 7 We can also find an objects CM by hanging it from a string. We can show that the CM of a body moves according to Newton’s 2 nd Law: 8 To do this, consider a system of nparticles (connected by tiny, massless, rigid rods) on which a quick force F r acts. How would this system of particles move? What if n was large? Is Σ F = ma ? Which m? Which a? xaxis yaxis ⊗ CM m n m 2 m 1 F r cm r r xaxis yaxis ⊗ CM ruler F r ~ 10 23 particles...
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 Spring '11
 staff
 Center Of Mass, Force, Mass, Momentum, Trigraph, rcm

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