PROBLEM 10.87 The 12-kg block Dcan slide freely on the inclined surface. Knowing that the constant of the spring is 480 N/m and that the spring is unstretched when 0,θ=determine the value of θcorresponding to equilibrium. SOLUTION First note, by Law of Cosines ()()2220.40.4sin2 0.40.4sincos222dθθθ=+−or 20.41sinsinm2dθθ=+−Now 212SPDDVkxm gy=−()()()2010.4sin602ADDk rm gydθ=−+−°()222010.40.4 1sinsinsin6022A
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