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= 3.0 AB; the Young's moduli of the cylinders are related by EA 2.7 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 dAfor cylinder A and dB for cylinder B. (c) What is the ratio dA/dB? dA com of brick A В

Answer 1

given, MA=3 AB 6 = 2.7 ER The brick rests holizontally, so understrened cylinders is same the same strain decoration to the length of the and they experience from 0 € @ Fan AREA Fire AER FA AAEA 3A * 2:7 EB = 8.1 The spread forces exerted by the stressedd cylinders and the downward weight force of the Drücke from 3 FA = 8,1 FB and a) The fraction of the bricks mass buppotted by cylinder A: FA FA 2. W 81

BiIFA+FA = full 7 = qui FA Silikti FA = 0.89W FA 20:29 by the fraction of brick's maun supported by cylinder Bi FA FIFB FA AFR=W zulfe + FB = h = arifoch & the torque around Blicka os pivot: the center of man of the AdA = Fo #do. 8o1Fe 2 0.123-