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On a forest trail a 4m long birch tree trunk is laid across a ravine as a bridge. The trunk is 4m long and just
touching each side of the ravine. The trunk is 20cm in diameter and roughly cylindrical. The Young's modulus
of birch is 15.2 GPa and its density is 610kg/m. How far does the middle of the trunk bend under its own
weight? (answer in mm)
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