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hsphysics2
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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