Consider again the car of Problem 61. Suppose that the curve is icy at its worst spot (μ = 0), but is banked at angle θ from the horizontal Figure 14. Let F be the force exerted by the road on the car. Then, at the critical speed vR, mg = ||F|| cos θ and mv2R/R = ||F|| sin θ.

a. Show that vR = ˆšRg tan θ.
b. Find vR for a curve with R = 400 feet and θ = 10o.

Transcribed Image Text:

F: Force exerted by road Centrifugal force dl mg: Weight of car