- #1

Mark Trice

- 7

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## Homework Statement

The static friction coefficient on an inclined plane is equal to tan(θ). The problem requires me to prove this also works by using an x-axis parallel to the ground rather than parallel to the incline. I understand how to get tan(θ) using the incline as the x-axis, but I don't know how to get tan(θ) using an x-axis parallel to the ground.

## Homework Equations

μ = tan(θ)

## The Attempt at a Solution

I worked out how to get tan(theta) using the incline as the x-axis by doing mgsin(θ) = (μ)(Normal Force) and mgcos(θ) = Normal Force and used algebraic manipulation to get μ = tan(θ), but I just can't wrap my head around how the trigonometry would work if I used a different x-axis.

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