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Homework 1: Practicing MATLAB. Due date: 2/01/2011.
The purpose of this fairly straightforward assignment is to get you started on MATLAB
programming. For problems 1(a) and 3(a),(c) please submit a separate file containing
your answers/analytics. The best formats: .doc or .pdf. If you decide to submit a .doc file,
please do not use MathType for equations. Instead, use the standard Microsoft Equation
program. Otherwise your formulas may not show up on my computer.
Problem 1: The Cycloid. (30 points)
Imagine that a speck of dust attached itself to the outside of a rolling tire. The tire is
rolling straight (without wobbling) with velocity vx = 1m/s on a flat surface without
slipping. The tire diameter is D = 1m.
(a)
Work out the
analytic solution
to this problem (in a parametric form). (15pt)
(b)
Draw the xy trajectory of the dust speck over two periods of the tire rotation.
Here y is the vertical direction. Write an appropriate MATLAB script, generate
the plot, save it as an encapsulated postscript file. The plot should have a title,
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 Spring '11
 Gennady
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