Banked curve We will analyze the physics of a car going around a highly banked curve: 8 The banking angle is 0 and the radius of the turn is R. The car is moving at a speed v that you must determine (as a function of 0, R, m, g, and, in a later part, μs). Part A. No friction Assuming there is no friction (imagine the road is covered with ice if you'd like): 1. Draw the free body diagram for the car. 2. Split the forces into components along a normal (not tilted) x-y coordinate system, and use Newton's law(s) in the y direction to solve for the normal force (from the road on the car), in terms of m, g and 0. 3. Use Newton's law(s) in the x direction to solve for the car's speed v, in terms of g, R and 0.

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter6: Motion In Two Dimensions
Section: Chapter Questions
Problem 62A
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Banked curve
We will analyze the physics of a car going around a highly banked curve:
The banking angle is and the radius of the turn is R. The car is moving at a speed v that you must determine
(as a function of 0, R, m, g, and, in a later part, µs).
Part A. No friction
Assuming there is no friction (imagine the road is covered with ice if you'd like):
1. Draw the free body diagram for the car.
2. Split the forces into components along a normal (not tilted) x-y coordinate system, and use Newton's
law(s) in the y direction to solve for the normal force (from the road on the car), in terms of m, g and 0.
3. Use Newton's law(s) in the x direction to solve for the car's speed v, in terms of g, R and 0.
Transcribed Image Text:Banked curve We will analyze the physics of a car going around a highly banked curve: The banking angle is and the radius of the turn is R. The car is moving at a speed v that you must determine (as a function of 0, R, m, g, and, in a later part, µs). Part A. No friction Assuming there is no friction (imagine the road is covered with ice if you'd like): 1. Draw the free body diagram for the car. 2. Split the forces into components along a normal (not tilted) x-y coordinate system, and use Newton's law(s) in the y direction to solve for the normal force (from the road on the car), in terms of m, g and 0. 3. Use Newton's law(s) in the x direction to solve for the car's speed v, in terms of g, R and 0.
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