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Unformatted text preview: patel (kp9583) – CW10 – Mackie – (20211) 1 This print-out should have 2 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points In a popular amusement-park ride, a cylin- der of radius 3.90 m is set in rotation at an angular speed of 4.46 rad/s, as shown in the figure. The floor then drops away, leaving the riders suspended against the wall in a vertical position. The acceleration of gravity is 9 . 81 m / s 2 . 3 . 9 m What minimum coefficient of friction be- tween a rider’s clothing and the wall of the cylinder is needed to keep the rider from slip- ping? Correct answer: 0 . 126455. Explanation: Basic Concepts: F n = F c = m r ω 2 F s = μ s F n = μ s m r ω 2 F g = m g Given: r = 3 . 90 m ω = 4 . 46 rad / s g = 9 . 81 m / s 2 Solution: F s = F g μ s m r ω 2 = m g μ s = g r ω 2 = 9 . 81 m / s 2 (3 . 9 m) (4 . 46 rad / s) 2 = 0 . 126455 002 10.0 points A curve of radius 50 . 5 m is banked so that...
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- Fall '09