PH 105 Midterm: ph105_sum15_exam3

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31 Jan 2019
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Instructions: solve 4 of 6 problems below. All problems have equal weight: show your work for full credit. Signi cant partial credit will be given: you are allowed a calculator and 2 sides of 8. 5 x 11in paper with notes, a (spherical) star of radius r = 5 105 km has a rotational period of 60 days. Later in its life, its radius expands to r = 5 106 km, though its mass m remains constant. Presume the star"s moment of inertial is km r2 at all times: a block of mass m is connected to two springs of force constants k1 and k2 as shown below. The block moves on a frictionless table after it is displaced from equilibrium and released. L 0 and x 0 to check your solution. : a long uniform rod of length l and mass m is pivoted about a horizontal, frictionless pin through one end.

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