In Fig. 12-56, a lead brick rests horizontally on cylinders A and B. The areas of the

Chapter 12, Problem 45

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In Fig. 12-56, a lead brick rests horizontally on cylinders A and B. The areas of the top faces of the cylinders are related by AA 2AB; the Youngs moduli of the cylinders are related by EA 2EB. The cylinders had identical lengths before the brick was placed on them. What fraction of the bricks mass is supported (a) by cylinder A and (b) by cylinder B? The horizontal distances between the center of mass of the brick and the centerlines of the cylinders are dA for cylinder A and dB for cylinder B. (c) What is the ratio dA/dB? A Bcom of brickdA

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