A uniform aluminium rod in the shape of a long cylinder of, Physics

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A uniform aluminium rod in the shape of a long cylinder of

A uniform aluminium rod in the shape of a long cylinder of initial length of 4 meters and a radius of 0.01 m is clamped in place at one end and is pulled with a machine parallel to its length at the other end. If the density does not charge, is it possible to stretch it to 4.1 meters (which changes the cross-sectional area) without failure?

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