A car is travelling on a frictionless banked curve of radius 200m. The curve is banked at 15°. We want to find the speed where thecar will travel around the curve at a constant speed and not moveup or down the ramp. a) Draw a picture of the situation. b) Draw aFBD of the car. Note that we want to keep traditional x andy-directions for this problem c) Use Newton’s second law in they-direction to find an equation for the normal force. d) WriteNewton’s second law in the x-direction and simplify. e)
A car is travelling on a frictionless banked curve of radius 200m. The …
Nov 10, 2022
numerade.com
Car on a banked curve with friction - exploring the parameters
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If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from sliding toward the inside of the curve (a real problem on icy mountain roads). (a) Calculate the ideal speed to take a 100  m radius curve banked at 15.0^∘. (b) What is the minimum coefficient of friction needed for a frightened driver to take the same curve at 20.0  km / h ? | Numerade
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A banked curve of radius R in a new highway is designed so that a car traveling at speed v0 can negotiate the turn safely on glare ice (zero friction). If a car travels too slowly, then it will slip toward the center of the circle. If it travels too fast, it will slip away from the center of the circle. If the coefficient of static friction increases, it becomes possible for a car to stay on the road while traveling at a speed within a range from vmin to v max . Derive formulas for v min and v
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