F08_lec15 - P1112 Lecture 15 Oct 1st, 2008 For each object,...

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P1112 Lecture 15 Oct 1st, 2008
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! L ! R R For each object, draw a free-body diagram, and relate the other force(s) acting on the object to its weight w. Conical Pendulum Banking Plane Car on banked curve (no friction)
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Rounding a curve A 1500 kg car is traveling on a flat road that passes through a curve with 35m radius. Assuming the coefficient of static friction is 0.5, what is the maximum speed the car can have to stay on the road without sliding?
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solution • Only centripetal force available is friction force, so the maximal speed is given by: W N f s a rad F x = f s " = ma rad a rad = v 2 R f s = μ s N F y " = N # mg = 0 N = mg v max = μ s gR v max = 0.5 " 9.81 m / s 2 " 35 m = 13 m / s
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Banked curve • Avoid relying on friction to round a curve: build curve banked at angle α : α
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• Avoid relying on friction to round a curve. Build curve banked at angle α : • FBD: • Calculate the angle you need to round the curve at 25m/s! α
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This note was uploaded on 10/04/2008 for the course PHYS 1112 taught by Professor Leclair,a during the Fall '07 term at Cornell University (Engineering School).

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F08_lec15 - P1112 Lecture 15 Oct 1st, 2008 For each object,...

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