6. A car turning on a banked road, considered frictionless (say, covered with ice), negoti- ates the turn at 65 miles per hour. If the radius of curvature R is 85 meters, what is the banking angle 0? If, on another day the road is without ice and a car is seen to negotiate the same banked road at 95 miles per hour. What is the coefficient of static friction if the car is not to skid when taking the turn?
6. A car turning on a banked road, considered frictionless (say, covered with ice), negoti- ates the turn at 65 miles per hour. If the radius of curvature R is 85 meters, what is the banking angle 0? If, on another day the road is without ice and a car is seen to negotiate the same banked road at 95 miles per hour. What is the coefficient of static friction if the car is not to skid when taking the turn?
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Transcribed Image Text:**Problem 6: Banked Road Curvature Analysis**
A car turning on a banked road, considered frictionless (say, covered with ice), negotiates the turn at 65 miles per hour. If the radius of curvature \( R \) is 85 meters, what is the banking angle \( \theta \)?
Additionally, if, on another day, the road is without ice and a car is seen to negotiate the same banked road at 95 miles per hour, calculate the coefficient of static friction required for the car not to skid when taking the turn.
**Diagram Explanation:**
The diagram depicts a right triangle that represents the banked road. The hypotenuse symbolizes the road itself, inclined at angle \( \theta \) from the horizontal. A simple illustration of a car is shown on the inclined plane, highlighting the forces acting on a vehicle negotiating the curve. The base and perpendicular sides of the triangle form the components of motion related to the banking angle.
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