Banked Car Please helpDue at 11 and I can't figure it out

[falco451]

Homework Statement

1) Suppose the friction force is sufficient to keep the car from skidding. Calculate the magnitude of the normal force exerted on the car by the road's surface

2) Calc the magnitude of Friction Force

3) What's the lowest possible value of the static friction coefficient?

Homework Equations

The diagram looks like this, but with different numbers
http://img523.imageshack.us/img523/4331/bankrz7.jpg

velocity = 22 m/s
radius = 23 m
mass = 2400 kg
Degree incline = 35

Net centripetal force = 50,504,35 N

The Attempt at a Solution

1) I broke it up into components but have no idea how to solve and get N.

Fx = Nsin(theta) + Fr cos (theta) (Fr = force of Friction)
Fy = Ncos (theta) - Frsin (Theta)


2) I need 1 to solve for this, but I was just going to plug back into one of the above equations and solve

3) Fr = muN
But I need N from 1 and Fr from 2



Help is much appreciated! It's due at 11 and I've trying all day. THANK YOU

 

[anathema]

To calculate the normal force exerted on the car by the road's surface, we can use the equation Fy = Ncos(theta) - Frsin(theta). In this case, we know the value of Fy, which is equal to the net centripetal force of 50,504.35 N. We also know the value of theta, which is the angle of incline of 35 degrees. However, we still need to find the value of Fr, which is the force of friction.

To calculate the force of friction, we can use the equation Fr = muN. In this case, mu represents the coefficient of static friction, which is the lowest possible value that is being asked for in part 3 of the problem. We can also substitute the value of N that we calculated in part 1 into this equation.

So, to solve for mu, we can rearrange the equation as mu = Fr/N. Then, we can substitute the value of Fr that we found in part 2 and the value of N that we calculated in part 1 to get the value of mu.

I hope this helps you solve the problem. Good luck!