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ME218 MIDTERM EXAM FALL 2008

ME218 MIDTERM EXAM FALL 2008 - ME 218 EXAM 1 SOLUTIONS...

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ME 218 EXAM # 1 SOLUTIONS Problem 1 (25/50 points): A sphere of radius 1m and density 0.8 times the density of water is floating in a pool of water. It can be shown that the depth h to which the sphere will sink into the water can be determined by solving the equation - - . = h2 h33 1 0667 0 a) A young graduate researcher knows that initial guess  h 0 =1 is a fairly good guess  for the solution of this problem. Given that this researcher knows that this is a  guess relatively close to the actual solution and given that he/she only has this one  initial guess to begin the search, which of the numerical methods we learnt so far  do you think should be used to solve this problem? Please explain the reasons for  your choice. (7 points) He/she should use the newton-raphson method because the initial guess is good and   newton-raphson is a good method for fine tuning a solution. b)

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ME218 MIDTERM EXAM FALL 2008 - ME 218 EXAM 1 SOLUTIONS...

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