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**1. Homework Statement**

Determine whether the block shown is in equilibrium and find the magnitude and direction of the friction force when θ = 25° and P = 750N

μ

_{s[\SUB] = .35 μk[\SUB] = .25}

_{ 2. Homework Equations Fs = μs * N Fk = μk * N 3. The Attempt at a Solution Attachment 1 up there is the drawing of the scenario. Attachment 2 is my addition to it to solve this problem. Using the axis shown, I have ΣFy = Ncosθ - Fssinθ - 1.2kN = 0 and apparently ΣFx = Nsinθ - Fscosθ - .750kN = 0 otherwise that similar triangle I drew there wouldn't make sense, just odd to think of the force of friction acting in the SAME direction as the force...regardless, continuing... Solving Top equation for Fs[\SUB] I get Fs[\SUB] = (Ncosθ - 1.2kN)/(sinθ) And subbing that into the second equation for F I receive Nsinθ - ((Ncosθ - 1.2kN)/(sinθ))cosθ - .750 = 0 Nsinθ - (Ncos^2 θ - 1.2kNcosθ) - .750 = 0 N(sinθ - cos^2θ) + 1.2kNcosθ - .750 = 0 N = (-1.2kNcosθ + .750)/(sinθ - cos^2 θ) N = 0.8465kN So Fs[\SUB] = .35*0.8465kN = .2963kN }

_{ Seeing as how this doesn't match up to the answer given, I'm not seeing where I went off...can anyone guide me in the right direction? Should I use a slanted axis?}

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