Unformatted text preview: Stokes equations. Problem 5. Everybody knows from freshman physics that the period, T, of a simple pendulum depends on its length, L, and the Earth’s gravitational acceleration, but is independent of its mass. We can show this simply using dimensional analysis. The variable list is T, L, g and (possibly) m. (a) Using this list of variables, apply the Buckingham Pi theorem to prove this result, i.e. prove that the period is independent of the mass. (b) Form a dimensionless Pi group involving T, g and L, and use the result that there is only one Pi group to show that T = C (L/g) 1/2 , where C is a constant. Problem 6. Work Problem 7.10 Problem 7. Work Problem 7.11...
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 Winter '09
 HOMSY
 Buckingham π theorem, Work problem

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