A cylindrical aluminum rod, with an initial length of L 0 and radius r 0 , is cl

Question

A cylindrical aluminum rod, with an initial length of L0 and radius r0, is clamped in place at one end and then stretched by a machine pulling parallel to its length at its other end. Assuming that the rod's density (mass per unit volume) does not change, find the force magnitude that is required of the machine to decrease the radius to some value r1. Let Young's modulus for aluminum be called EAl. (The yield strength is not exceeded.) State your answer in terms of the given variables, using when appropriate.

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Explanation / Answer

F/A = Eal(DL/Lo) A = (pi)(R)^2 F= Eal(DL/Lo)(pi)(R)^2 Or in other words F= Y modulus (change in length divided by the original length) (pi)(R squared)

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