PHYS212 : Homework |
Simple harmonic motion, coupled oscillators
(a) The general solution to the equation of motion of the system can
be written in the forms
(b) Sketch a circle in the complex plane representing the trajectory traced by the function . Label and in the diagram. Also place a dot on the circle corresponding to the time .
(a) What values of , , , and describe this situation?
(b) Use Maple or a spreadsheet to produce a plot of , , and vs. time over the first few periods of the slow mode. What is the physical meaning of the average?
(c) What are the angular positions of the masses after four periods of the slower normal mode?
Lab 1: The Double Pendulum
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