midterm_solutions

# midterm_solutions - Phys 701 Classical Mechanics Midterm...

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Unformatted text preview: Phys 701. Classical Mechanics. Midterm Exam. November 4, 2011. • Open book: Goldstein’s textbook can be used. Others texts are not permitted. • Please submit a solution of just one problem. Choose any problem you like. If you submit more than one solution, I will choose the one to be graded. Other solutions will not be graded. • Please explain your reasoning. There will be no partial credit for unexplained calculations with wrong results. Problem 1 A disk of radius R has a small disk cut out of it (see figure). The cut out disk has radius R/ 2. The mass of the remaining shape (gray area) is m . Find out its moment of inertia with respect to the axis going perpendicular to the plane of the figure through the point A at the top of the large disk. The line OO ′ connecting the centers of the large and small disks is horizontal, the OA line is vertical. O O A Solution: The total moment of inertia I of the shape is equal to the moment of inertia I 1 of a full large disk minus the moment of inertia I 2 of a small disk cut out of the large one. Both moments have to be calculated with respect to the point A ....
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midterm_solutions - Phys 701 Classical Mechanics Midterm...

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