Highway curves are "banked" inward, so gravity assists the car's traction. Suppose another highway curve has...
Highway curves are "banked" inward, so gravity assists the car's traction. Suppose another highway curve has a radius of curvature of 500m. It is banked so that traffic moving at 30m/s can travel around the curve without needing any help from friction.
a) Draw a force diagram for a car traveling around this curve at a constant speed. Draw the diagram so that you are looking at the rear of the car. Do not tilt your coordinate axes for this problem.
b) what is the acceleration in the x-direction, an what of the y-direction ?
c) Write down two copies of Newton's law in the x and y directions.
d) Solve the resulting system of two equations to determine the banking angle of the curve.
e) If the car is driving faster than 30m/s, which way will traction point on your force diagram ? What if it traveling slower than 30m/s ?
I am sorry there are so many parts, but please, if you do them all you will really be helping me out.
Thank you !
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