Magnetic Pendulum. A magnetic bob is afxed to an arm of
Chapter 8, Problem 73(choose chapter or problem)
Magnetic Pendulum. A magnetic bob is afxed to an arm of length L, which is fastened to a pivot point. Three magnets of equal strength are positioned on a plane 8 inches from the center; one is placed on the x-axis, one at 120 with respect to the positive x-axis, and the other at 240 with respect to the positive x-axis. The path swept out is a three-petal rose, as shown below:a. Find the equation of this path. b. How many times does the path retrace itself on the interval [0, 100]?
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