Your company has developed a specialized running prosthetic. It has been designed to act like a spring, bending under load and then straightening during the runner's stride to provide propulsion. The company is considering changing the current design, a solid rectangle, to a hollow cylinder to reduce weight. However, then do not want to sacrifice durability and ask you to do an analysis. a) Draw a FBD and solve for the internal moment along the length of the foot as a function of x. b) Calculate the maximum normal stress caused by bending of the foot. How far along the x axis does this occur? c) The company wants the outer radius of the new hollow cylinder design to be 1 cm. To ensure durability, they do not want to exceed the maximum normal stress produced in the old solid rectangular design. What should the inner radius of the new design be to meet these requirements?

Your company has developed a specialized running prosthetic. It has been designed to act like a spring, bending under load and then straightening during the runner's stride to provide propulsion. The company is considering changing the current design, a solid rectangle, to a hollow cylinder to reduce weight. However, then do not want to sacrifice durability and ask you to do an analysis. a) Draw a FBD and solve for the internal moment along the length of the foot as a function of x. b) Calculate the maximum normal stress caused by bending of the foot. How far along the x axis does this occur? c) The company wants the outer radius of the new hollow cylinder design to be 1 cm. To ensure durability, they do not want to exceed the maximum normal stress produced in the old solid rectangular design. What should the inner radius of the new design be to meet these requirements?

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