113_Problem CHAPTER 10

# 113_Problem CHAPTER 10 - PROBLEM 10.95 The horizontal bar...

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PROBLEM 10.95 The horizontal bar BEH is connected to three vertical bars. The collar at E can slide freely on bar DF . Determine the range of values of P for which the equilibrium of the system is stable in the position shown when 300 mm, a = 400 mm, b = and 90 N. Q = SOLUTION First note sin sin A a b θ φ = = For small values of and : θ φ a b θ φ = or a b φ θ = ( ) ( ) cos 2 cos V P a b Q a b φ θ = + + ( ) cos 2 cos a a b P Q b θ θ = + ( ) sin 2 sin dV a a a b P Q d b b θ θ θ = + + ( ) 2 2 2 2 cos 2 cos d V a a a b P Q b d b θ
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