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99_Problem CHAPTER 10 - PROBLEM 10.87 The 12-kg block D can...

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PROBLEM 10.87 The 12-kg block D can 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 θ corresponding to equilibrium. SOLUTION First note, by Law of Cosines ( ) ( ) 2 2 2 0.4 0.4sin 2 0.4 0.4sin cos 2 2 2 d θ θ θ = + or 2 0.4 1 sin sin m 2 d θ θ = + Now 2 1 2 SP D D V kx m gy = ( ) ( ) ( ) 2 0 1 0.4 sin60 2 A D D k r m g y d θ = + ° ( ) 2 2 2 0 1 0.4 0.4 1 sin sin sin60 2 2 A
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