Exam 9: Rotation of Rigid Bodies

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Shear stress and strain: A shear force of 400 N is applied to one face of an aluminum cube with sides of 30 cm while the opposite face is held fixed in place. What is the resulting displacement of the face? (The shear modulus for aluminum is 2.5 × 1010 N/m2)

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Tensile stress and strain: What is the maximum length of a metal cable that can hang vertically supported from one end of the cable? The Young's modulus of this metal is 2.10 × 1011 N/m2, its tensile strength (the maximum tensile stress it can support without breaking) is 7.40 × 108 N/m2, and its density is 7.60 × 103 kg/m3.

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Tensile stress and strain: A very light 1.00-m wire consists of two segments of equal length, one of steel (Young's modulus is 2.00 × 1011 N/m2) and one of brass (Young's modulus is 9.0 × 1010 N/m2). The steel segment is 1.50 mm in diameter, and the brass segment has twice this diameter. When a weight w is hung from the ceiling by this wire, the steel segment stretches by 1.10 mm. By what distance does the brass segment stretch?

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Tensile stress and strain: Tensile stress is

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Volume stress and strain: When the pressure applied to an unknown liquid is increased from 1.0 × 107 N/m2 to 5.5 × 107 N/m2, the volume of the liquid decreases by 0.70%. Calculate the bulk modulus of the liquid.

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Tensile stress and strain: Tensile strain is

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