hw_2 - Problem Set#2 ME 152B Winter 2008 Due 5pm Friday Jan...

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Problem Set #2 ME 152B Winter, 2008 Due 5pm Friday, Jan. 23 Midterm Wednesday Feb 4 Reading: Munson, et al, Chapter 8, Sections 8.1, 8.2(should be review), 8.3, 8.4.1: Chapter 9, Sections 9.1, 9.2.1, 9.2.2, 9.2.4, 9.2.5, 9.2.6, 9.3, 9.4.1. Problem 1 . Work Problem 7.17. Be sure to use only the variable list given in the problem. Hint: Try to find the Pi groups by inspection. Comment: This problem shows one of the powers of dimensional analysis, which is we can predict what will happen if certain physical quantities are changed. Problem 2. Work Problem 7.67. After you have finished this problem, note any dimensionless groups that arise. Problem 3. Work Problem 8.2. Problem 4. We showed last week 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 used dimensional analysis and the variable list {T,L,g,m} to do so. But… you may also recall from freshman physics that the period of a simple pendulum depends on the amplitude of the initial displacement. We’ll
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