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Unformatted text preview: In class, Monday, September 28, 2009 Professor Philip S. Marcus ME 106 Midterm Exam I The large tank in the Figure is filled with a static fluid with a density ( z ) that is linear in the vertical direction z : ( z ) = a + b z , where a and b are constants. Gravity g points in the downward ( z ) direction. The unit vector y points into the paper. Attached to the interior of the left wall is a suction cup, inside of which there is a vacuum, so the pressure inside the suction cup is zero. The shape of the suction cup is quite irregular, and I have lost the equation used to generate it! However, I do know that the volume of the vacuum inside the suction cup has a value of V . I also remember that the suction cup is symmetric with respect to the x y plane at z = 0. (That is, if we put a mirror in the x y plane at z = 0, the image of the top of the suction cup in the mirror looks exactly like the bottom of the suction cup.) The crosssectional area of the vacuum inside the suction cup in the x y plane at z = 0 is AA . The total surface area of the suction cup is AAA . I also remember the values of A integraltext S dy dz , A 2 integraltext S z 2 dy dz , and A 3 integraltext S z 3 dy dz , where S is that portion of...
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This note was uploaded on 04/19/2010 for the course ME 106 taught by Professor Morris during the Fall '08 term at University of California, Berkeley.
 Fall '08
 Morris

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