Coefficient of kinetic friction on wooden plane question

AI Thread Summary
To determine the coefficient of kinetic friction on a wooden plane, a block sliding down at a constant speed on a 30° incline indicates that the forces are balanced. The correct approach involves using the tangent of the angle (tanΘ) rather than just the sine function, as it accounts for both gravitational and frictional forces. A free body diagram (FBD) is essential to visualize the forces acting on the block, which include gravity, normal force, and friction. As the incline approaches 90°, the frictional force would need to be re-evaluated, highlighting the relationship between tilt and friction. Understanding these concepts is crucial for solving similar physics problems effectively.
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Homework Statement


This is what I was given:
A block is placed on a rough wooden plane it is found that when the plane is tilted 30° to the horizontal, the block will slide down at a constant speed.

Homework Equations


I'm not sure which equations to use other than sinΘmg but I'm not getting the correct answer which is 0.577.

The Attempt at a Solution


I then tried tanΘ and got the correct answer but I'm not sure why it's correct.
Thank you for any help provided.
 
Last edited:
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Drawing a FBD is a MUST. This must show all the forces acting on the block.
 
Try a sanity check: What happens as the plane's tilt approaches 90°? Once you do that, try calculating the friction force.
 

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