Hard centripetal forc eproblem

  • #1

Homework Statement


a 1000kg car negotiates a banked friction free track or radius 25m with speed 30m/s

to what angle to the horizontal is the road banked?


Homework Equations





The Attempt at a Solution


tried to calculate the normal force of the car, to find the angle between the weight vector and the normal force vector, which would be equal to the angle that the road is banked.
However, I could not find the angle fo the normal force
 

Answers and Replies

  • #2
rock.freak667
Homework Helper
6,223
31
If the angle of baking is θ, what is the component of the weight that points towards the center of the path?
 
  • #3
mgsin theta, you dont know theta though..
 
  • #4
collinsmark
Homework Helper
Gold Member
2,979
1,520
mgsin theta, you dont know theta though..

A free body diagram will allow you to use trigonometry to find theta.
 
  • #5
rock.freak667
Homework Helper
6,223
31
mgsin theta, you dont know theta though..

if that force provides the centripetal force, you can find θ.

Fc=mv2/r remember?
 

Related Threads on Hard centripetal forc eproblem

Replies
2
Views
3K
Replies
3
Views
19K
  • Last Post
Replies
3
Views
755
  • Last Post
Replies
6
Views
650
  • Last Post
Replies
3
Views
740
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
11
Views
2K
Top