In Fig. 12-56, a lead brick rests horizontally on

Chapter , 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?

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