PROBLEM 10.48 Denoting by sµthe coefficient of static friction between collar Cand the vertical rod, derive an expression for the magnitude of the largest couple Mfor which equilibrium is maintained in the position shown. Explain what happens if tansµθ≥. SOLUTION Member BC: Have cosBxlθ=sinBxlδθδθ= −(1) and sinCylθ=cosCylδθδθ=(2) Member AB: Have12Bxlδδφ=Substituting from Equation (1), 1sin2llθδθδφ−=or 2sinδφθδθ= −(3) Free body of rodBCFor max,Mmotion of collar
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