Calculating Coefficient of Friction on Inclined Surface

AI Thread Summary
To determine the coefficient of friction (μ) on an inclined surface, the angle of inclination (θ) at which a block begins to slip can be used, expressed as μ = tan(θ). The discussion emphasizes the importance of analyzing forces acting on the block, including normal and frictional forces, and suggests drawing a diagram to visualize these forces. It highlights the need to apply trigonometric principles to calculate the normal force relative to the ramp's angle. Participants express uncertainty about starting the problem, indicating a gap in applying concepts learned in class to inclined surfaces. Understanding these principles is crucial for solving problems involving friction on ramps.
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Homework Statement


A block is placed onto a ramp. The ramp's angle of inclination is adjustable. Show that when the ramp is raised to the point where the block is just about to begin slipping the coefficient of friction can be determined from: μ= tan(theta) where (theta) is the angle of inclination when the block begins to slip.


Homework Equations


ΣFx and ΣFy


The Attempt at a Solution


I am not quite sure how to start this because even though we did learn contact forces in class, all the examples and questions that we have had so far were objects in contact with each other along a flat horizontal surface where angles were not needed.
 
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Draw a picture!
Include all your forces, i.e. where they are and what direction they are going.
Find your normal force with respect to the ramp and take into account the angle using basic trig.
In the end things should start to cancel out.
 
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