Need Help- Centripetal car problems, finding the angle

[Lolagoeslala]

Homework Statement

Find the angle at which a curve of radius 100m, should be
banked in order that a car moving at a speed 90 km/h will not
need any frictional force to round it

The Attempt at a Solution

Alright so what i did was, i made two equations...
Fc=Fnsinθ
ma=mgsinθ
v^2/r=gsinθ this is the horizontal force toward the centre of the circle.

And now for the verticle equilibrium
Fg= Fncosθ is this correct i am not understanding how i would do this?

AND THE REST i am really confused about what to do...

 

[frogjg2003]

Try writing the equations for parallel and perpendicular to the road.
Just keep in mind that you aren't dealing with an inertial reference frame. The $F_c$ pointing in that is your centripetal force, is the same as a centrifugal force pointing out in this reference frame.

 

[Tupac]

Who r u Lola. You go to my school cause all of your questions you're asking are from an assignment. Message me back, cause i want to compare answers with u.