PHYS 200 Final: PHYS 200 Final Exam

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31 Jan 2019
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Do problems in 6 books as indicated. (i) book 1 a solid cylinder of mass m and radius r rolls (without slipping) down a slope from a height h and goes around a loop-the-loop of radius. You may neglect r in comparison to r and h. (20) (ii) book 1 a record is spinning on a turntable at 8 rev/s. A non-rotating rod of equal mass is dropped onto it from negligible height. The rod"s length equals the diameter of the record. They begin to turn as one, with their centers coincident. If you use any conservation law(s) justify it (them). (20) (iii) book 2 a solid cylinder rolls without slipping on an incline of angle . Show that its linear acceleration downhill is a = 3 g sin . (hint: take torque about a judicious point. ) (20) (iv) book 2 an amusement park ride is shown in gure 2.

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