In Fig, a lead brick rests horizontally on cylinders A and B. The areas of the top faces of the cylinders are related by `A_(A)=2.2 A_(B)`, the Young's moduli of the cylinders are related by `E_(A) = 2.2 E_(B)`. The cyclinders 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)` ?

Explanation

(a) 0.83,
(b) 0.17,
(c ) 0.21