Lect06 - Spring 2012 PHYS 172 Modern Mechanics Lecture 6...

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Unformatted text preview: Spring 2012 PHYS 172: Modern Mechanics Lecture 6 – Ball-Spring Model of Solids, Friction Read 4.1-4.8 1 Can we really predict the future? BASIC IDEA We give you the initial positions, velocities, and the interactions. You predict everything! PHILOSOPHICAL PROBLEMS there free will? .... Really Everything? Is there free will? Is there more than we can detect? Emergence: some laws can only be discovered with 10 23 particles. PRACTICAL PROBLEMS More than 10 23 particles in a glass of water. Can't measure them all. Sensitivity to initial conditions (chaos) Quantum mechanics: Probabilities determine outcomes Quantum mechanics: Heisenberg uncertainty principle 2 Model of solid: chemical bonds F linear ≈ & radial force (N) d If atoms don ’ t move too far away from equilibrium, force looks like a spring force! 3 A ball-spring model of a solid Ball-spring model of a solid To model need to know: - spring length s- spring stiffness- mass of an atom 4 Initial conditions for circular motion 5 Length of a bond: diameter of copper atom...
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This note was uploaded on 02/12/2012 for the course PHYS 172 taught by Professor ? during the Spring '08 term at Purdue.

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Lect06 - Spring 2012 PHYS 172 Modern Mechanics Lecture 6...

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