Question

In the figure, a lead brick rests horizontally on cylinders A and B. The areas of the top faces of the cylinders are related by AA= 1.8 AB; the Young's moduli of the cylinders are related by Ex= 1.8 EB. The cylinders had identical lengths before the brick was placed on them. What fraction of the brick's 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 defor cylinder A and do for cylinder B. (c) What is the ratio da/dk? de dig ! com of brick (a) Number Units Units (b) Number (c) Number Units

Answer 1

Young's Modulus is given by (FIA) (0LL) E AL L AE 510ce Length 16 Constont FA FB AA EA Ab Eр FA FB EA AA 18 EB 18 AB 3.24 Ap EB Ap Ee Since FA FB W Fo FB FBX 4.24- W WI Fo - 0.23585 4.24 fYom fB FA FA 10.76415 FB 0.23585 -1 Since T: Fd FA dA= FB dp dA FA C =0.30864