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Assuming the collision with the floor is elastic and that

A person drops a cylindrical steel bar (Y = 1.700 × 1011 Pa) from a height of 2.70 m (distance between the floor and the bottom of the vertically oriented bar).

The bar, of length L = 0.870 m, radius R = 0.00650 m, and mass m = 0.600 kg, hits the floor and bounces up, maintaining its vertical orientation. Assuming the collision with the floor is elastic, and that no rotation occurs, what is the maximum compression of the bar?

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