A cylindrical rod is hung in a gravitational acceleration of 9.8 m/s2. The ultimate tensile stress of the rod material is 1800 MPa. The density of the rod material is 4000 kg/m3. How long may we make the rod before it fails under its own weight?

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A cylindrical rod is hung in a gravitational acceleration of 9.8 m/s<sup>2</sup>. The ultimate tensile stress of the rod material is 1800 MPa. The density of the rod material is 4000 kg/m<sup>3</sup>. How long may we make the rod before it fails under its own weight?