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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.

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.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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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