I created a free body diagram but need help explaining how the slope of the ramp can be used to determine the coefficient of friction. Im trying to use math to exaplain using  μ = tan(θ) and my rise is 15cm and my run is 55cm. My teacher taught us SOH CAH TOA but im not sure how I would expalin using math. Please help me out!

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

I created a free body diagram but need help explaining how the slope of the ramp can be used to determine the coefficient of friction. Im trying to use math to exaplain using  μ = tan(θ) and my rise is 15cm and my run is 55cm. My teacher taught us SOH CAH TOA but im not sure how I would expalin using math. Please help me out! 



Expert Solution
Step 1

Physics homework question answer, step 1, image 1

This is the FBD for all the forces applied on a mass which is on a slope.

As given in the problem,

Rise of slope is 15 cm

Run of slope is 55 cm

Tanθ = Rise/ Run

Tanθ = 15 /55 = 0.27

 μ = tanθ 

μ = 0.27 

 

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Free body diagram
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
  • SEE MORE 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