A car rounds a banked curve where the radius of curvature of the road is ?, the banking angle is ?, and the coefficient of static friction is ??. Suppose that the car is traveling just fast enough to avoid slipping down the incline, and that the center of the track is to the left of the car. Which of the following statements must be true?

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)...
icon
Related questions
Question

A car rounds a banked curve where the radius of curvature of the road is ?, the banking
angle is ?, and the coefficient of static friction is ??. Suppose that the car is traveling just fast
enough to avoid slipping down the incline, and that the center of the track is to the left of the car.
Which of the following statements must be true?

E
L.
a.
The magnitude of the normal force is mg cos 0.
b. The net force points in the -x direction.
C. The magnitude of the centripetal force is equal to FÃ sin 0 – ƒ cos 0.
d. If the radius of curvature of the track increases, then the minimum speed required to avoid
slipping down the incline must decrease.
Transcribed Image Text:E L. a. The magnitude of the normal force is mg cos 0. b. The net force points in the -x direction. C. The magnitude of the centripetal force is equal to FÃ sin 0 – ƒ cos 0. d. If the radius of curvature of the track increases, then the minimum speed required to avoid slipping down the incline must decrease.
Expert Solution
Step 1

The normal force ia the force acting perpendicular ly to  the surface that os road here and the weight is acting vertically downward .

As there is fraction force component  too in the vertical upward direction so mg= Ncosθ-fsinθ

 

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Centripetal force
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON