Particle F=ma (n-t): Example Problem 5

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Presentation transcript:

Particle F=ma (n-t): Example Problem 5 An automobile drives around a banked curve on a rural road. (a) What direction does friction act? (b) Obtain an equation that relates car speed v, bank angle q, curve radius r, and friction m.

Again, what direction does friction act? Answer: “It depends!”

Obtain an equation that relates car speed v, bank angle q, curve radius r, and friction m.

If you know q, m and r, and need to find the car speed v, this is an easy problem. If you know v, r and m and need to find q, then you have to iterate or use an equation solver to get q.

If you know q, m and r, and need to find the car speed v, this is an easy problem. For example, let q = 20, m = .3, r = 200 ft, g = 32.2 fps2; find the speed v at which the car is on the verge of slipping upslope.

If you know v, r and m and need to find q, then you have to iterate or use an equation solver to get q. Let m = .3, r = 100 m, g = 9.81 m/s2, and v = 20 m/s; find the angle q at which the car is on the verge of slipping upslope.