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Unformatted text preview: ME 104: Engineering Mechanics II Spring Semester 2011 Department of Mechanical Engineering University of California at Berkeley Professor Oliver M. O’Reilly Homework No. 12 Due by 2:30 pm on Friday April 22 2011 Notes: These 5 problems involve using the balance laws: F = m ¯ a , and Either M = ˙ H or M O = ˙ H O . (1) In all but one of the problems, ω = ˙ θ E z and H = I zz ˙ θ E z . Consequently, you can easily use H O = H + ¯ x × m ¯ v to work out (for all but the last problem) H O = I Ozz ˙ θ E z . Alternatively, given I zz you can use the parallel–axis theorem to work out I Ozz . Questions 4 and 5 will be graded, in addition to 2 questions from the remaining 3 problems . For all of these problems, you should use The Four Steps . The algebra can be involved so I recommend that you insert numbers at the very end. Please feel free to use Matlab or Wolfram Alpha in Step IV, but provide a printout of your code if you do so....
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 Spring '08
 Oreilly
 Mechanical Engineering, Force, Moment Of Inertia, Rotation, Trigraph

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