Lec15 - P112 Lecture 15 θ 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

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Unformatted text preview: P112 Lecture 15 Feb 22, 2008 θ 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) 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? 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 å = ma rad a rad = v 2 R f s = m s N F y å = N- mg = 0 N = mg v max = m s gR v max = 0.5×9.81 m / s 2 ×35 m =13 m / s Banked curve • Avoid relying on friction to round a curve: build curve banked at angle α : α Banked curve • 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!...
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This note was uploaded on 04/16/2009 for the course PHYS 1112 taught by Professor Leclair,a during the Fall '07 term at Cornell University (Engineering School).

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Lec15 - P112 Lecture 15 θ 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

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