Banked Curve with Friction Problem

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Homework Help Overview

The discussion revolves around a problem involving a banked curve with friction, focusing on centripetal force and the dynamics of a car navigating the curve. The original poster provides specific parameters such as the friction coefficient, angle, radius, and mass of the car, and seeks to determine the maximum speed without skidding.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster describes their attempt involving a free body diagram and calculations for normal and friction forces, questioning the inclusion of the weight's sine component in the centripetal force equation. Other participants inquire about the method used to find the normal force and the forces acting on the car.

Discussion Status

The discussion is ongoing, with participants providing guidance on the forces involved and questioning the original poster's calculations. There is an exploration of the forces acting on the car, but no consensus has been reached regarding the correct approach or solution.

Contextual Notes

The original poster indicates they have attempted the problem but received an incorrect answer according to their online homework system. There may be assumptions regarding the forces acting on the car that are under discussion.

ruck101
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Hey all! Brand new to PF. Anyway, I'm having trouble with a problem involving centripetal force. Here are the givens:

Friction coefficient = .49
Angle = 19 degrees
Radius = 46m
mass= 1200 kg

Question - How fast can the car take the curve without skidding to the outside? Thanks ahead of time!

By the way, yes, I have attempted this problem, just so nobody thinks I'm trying to get my homework done for me. :biggrin:
 
Last edited:
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Show us your attempt then. and Welcome to PF!
 
Banked Curve

Hehe, guess I should have done that in the first part. Anyway, I drew a freebody diagram and got the Normal Force = 11119 N, and the Friction force = Normal x Coefficient = 5448 N. Is that the only centripetal force or is there also the sin component of the weight? I've added sin (mg) and the friction force together and plugged it into V^2= centripetal Force x radius/ mass. And I get the wrong answer, or so my online homework says. I get around 18 m/s.
 
How did you find the normal force?

Realize that when the car moves at maximal speed, there are three forces acting on the car: weight, friction (which way does it act?), and the normal force. In the horizontal direction, there is centripetal acceleration; in the vertical direction, equilibrium.
 

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