Calculating Friction Force for Car in Circular Motion

[gillgill]

A 1000kg car rounds a curve of radius 65m banked at an angle of 14 degrees. If the car is traveling at 90km/h, will a friction force be required? If so, how much and in what direction?

can anybody show me the steps?
thx very much...

 

[marlon]

Well basically you are considering the movement of an object on an inclined plane. On the object you will have the centripetal force, the normal force, gravity and some friction...

try using this link : https://www.physicsforums.com/showthread.php?t=51034
Basically all is in there, you just need to apply it to this particular situation.

regards
marlon

 

[Skomatth]

http://faculty.salisbury.edu/~jwhoward/Physics121/assets/images/Lec5/clip_image043.gif

Here's a FBD that may also help.

 

[gillgill]

65 cos 14˚ + f sin 14˚ = mg
⇒ 65 cos 14˚ + f sin 14˚ = (1000)(9.8)
65 sin 14˚ - f cos 14˚ = m(v^2)/r
⇒ 65 sin 14˚ - f cos 14˚ = (1000)[(90 x 1000/3600)^2]/65
is this correct??