PH 125 Midterm: ph125_s09_exam3 (1)

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31 Jan 2019
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Spring 2009: solve 5 of 8 problems below. All problems have equal weight: show your work for full credit. The block moves on a frictionless table after it is displaced from equilibrium and released. Determine the period of simple harmonic motion. k1 k2 m: a horizontal plank of mass m and length l is pivoted at one end. The plank"s other end is supported by a spring of force constant k. the moment of inertia of the plank about the pivot is i = 1. The plank is displaced by an angle from horizontal equilibrium and released. Of simple harmonic motion for small . Hint: start with the torques at equilibrium, and the spring in equilibrium compression. pivot k: assume the earth to be a solid sphere of uniform density. A hole is drilled through the earth, passing through its center, and a ball is dropped into the hole.