Question

To set up and evaluate the equations of motion in a normal-tangential coordinate system.

A car of weight 13.1 kN is traveling around a curve of constant curvature ρ.

Part A - Finding the net friction force

The car is traveling at a speed of 21.5 m/s , which is increasing at a rate of 2.15 m/s2 , and the curvature of the road is ρ = 190 m . What is the magnitude of the net frictional force that the road exerts on the tires?

Part B - Finding the maximum allowable acceleration

Suppose that the tires are capable of exerting a maximum friction force of 5180 N . If the car is traveling at 16.5 m/s and the curvature of the road is ρ = 140 m , what is the maximum tangential acceleration that the car can have without sliding?

Part C - Finding the minimum curvature of the road

Suppose that the tires are capable of exerting a maximum net friction force of 3820 N . If the car is traveling at 22.5 m/s , what is the minimum curvature of the road that will allow the car to accelerate at 1.55 m/s2 without sliding?

Answer 1

crs Lomse tial 19o rn- 3252-13m 140 Cu 3870시,贮22-5 L15362301)2091N 2 32 09.29 622-52 320928 210 6