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# Consider a mass m constrained to move in a vertical line

ISBN: 9781891389221 90

## Solution for problem 13.2 Chapter 13

Classical Mechanics | 0th Edition

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Classical Mechanics | 0th Edition

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Problem 13.2

Consider a mass m constrained to move in a vertical line under the influence of gravity. Using the coordinate x measured vertically down from a convenient origin 0, write down the Lagrangian and find the generalized momentum p = 04.,181. Find the Hamiltonian J-C as a function of x and p, and write down Hamilton's equations of motion. (It is too much to hope with a system this simple that you would learn anything new by using the Hamiltonian approach, but do check that the equations of motion make sense.)

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Cog Neuro Notes Week 6 V1 & Beyond ● The complete visual field is rep’d 3 times in the visual cortex ● Info in V1 is sent to V2 and V3, ten to other higher order visual areas MT Direction Selectivity a) Showing animals lines in different orientations i) This neuron prefers motion in the upper/upper right ii) One way to look at the selectivity of this...

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