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## Homework Statement

A box is halfway up a ramp. The ramp makes an angle, θ with the ground. What is the maximum value of θ before the mass will slip? μ[itex]_{s}[/itex]=0.25

## Homework Equations

F[itex]_{x}[/itex]=ma[itex]_{x}[/itex]

## The Attempt at a Solution

I drew a free body diagram to show the forces affecting the box

η-mgcos=0

η=mgcosθ (eq'n 1)

F[itex]_{x}[/itex]=ma[itex]_{x}[/itex]

μ[itex]_{s}[/itex]η-mgsinθ=ma[itex]_{x}[/itex] (sub eq'n 1 in)

μ[itex]_{s}[/itex](mgcosθ)-mgsinθ=ma[itex]_{x}[/itex]

mg(μ[itex]_{s}[/itex]cosθ-sinθ)=ma[itex]_{x}[/itex]

I'm not sure where to go from here, or even if this is the correct path for me to take