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53_Problem CHAPTER 10 - PROBLEM 10.48 Denoting by s the...

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PROBLEM 10.48 Denoting by s µ the coefficient of static friction between collar C and the vertical rod, derive an expression for the magnitude of the largest couple M for which equilibrium is maintained in the position shown. Explain what happens if tan s µ θ . SOLUTION Member BC : Have cos B x l θ = sin B x l δ θδθ = − (1) and sin C y l θ = cos C y l δ θδθ = (2) Member AB : Have 1 2 B x l δ δφ = Substituting from Equation (1), 1 sin 2 l l θδθ δφ = or 2sin δφ θδθ = − (3) Free body of rod BC For max , M motion of collar
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