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!
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)...
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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
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
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