Circular Motion and Banked Curves

[erin.grae]

Homework Statement

A concrete highway curve of radius 60.0 m is banked at a 11.0 degree angle. What is the maximum speed with which a 1500 kg rubber-tired car can take this curve without sliding? (Take the static coefficient of friction of rubber on concrete to be 1.0.)

Homework Equations

w _f ² = w _i²* t + 1.2 * alpha * t
theta _f - theta _i = w _i t + t/2 alpha t ²

The Attempt at a Solution

Okay, I drew a picture of the problem and I tried to find all the forces acting on the car but I really don't think I've got them all. I know there's the usual gravity, normal force, and centripetal acceleration but I'm not sure if the equations I referenced above are even really relevant.

 

[rock.freak667]

In your FBD, centripetal force is not to be on there, centripetal force is a resultant force.

The resultant normal force (perpendicular to the plane) is zero. You should now be able to find the normal reaction.

Friction=μR.

If the car slides down the plane, then friction acts up the plane. What do the resultant of these two force give?