A) The Cauchy stress in a certain body is given by 0 60x -50x =...

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A) The Cauchy stress in a certain body is given by 0 60x -50x σ = 60x₁ 0 0 -50x 0 0 Find the traction vector acting on a plane that passes through the point .3,2) and is tangent to the circular cylindrical surface x²+x=1 at that point. B) Write the equations of linear momentum for the case where the stress components have the form σ=-GS, where G=3txxx. C) Consider an insulated cylinder of fixed continuum that undergoes steady heat conduction in the direction from the left end face at temperature T₁ to the right end face at temperature T₂. Let the cross-sectional area of the cylinder be A and the one-dimensional heat flux from left to right be q. Use the second law of thermodynamics to demonstrate that heat flow through conduction is always in the direction from high temperature to low temperature. A) The Cauchy stress in a certain body is given by 0 60x -50x σ = 60x₁ 0 0 -50x 0 0 Find the traction vector acting on a plane that passes through the point .3,2) and is tangent to the circular cylindrical surface x²+x=1 at that point. B) Write the equations of linear momentum for the case where the stress components have the form σ=-GS, where G=3txxx. C) Consider an insulated cylinder of fixed continuum that undergoes steady heat conduction in the direction from the left end face at temperature T₁ to the right end face at temperature T₂. Let the cross-sectional area of the cylinder be A and the one-dimensional heat flux from left to right be q. Use the second law of thermodynamics to demonstrate that heat flow through conduction is always in the direction from high temperature to low temperature.

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