일반물리학 1 — Equilibrium and Elasticity: Problem 25

25 In Fig. 12-32, a lead brick rests horizontally on cylinders A and B. The areas of the top faces of the cylinders are related by $A_A = 2.2A_B$; the Young’s moduli of the cylinders are related by $E_A = 2.2E_B$. 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 $d_A$ for cylinder A and $d_B$ for cylinder B. (c) What is the ratio $d_A/d_B$?