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You have a large pin made from aluminum with a diameter of 0.01 m. This pin is needed to hold something from the ceiling. You install the pin into a hole of diameter 0.01 m in a piece of tungsten; assume a "perfect press fit". It was very hot, 323K, when you installed the pin. You mount the assembly to the ceiling. Suddenly, after you hung a 100 kg mass from the pin, the temperature dropped to 273K.
A) Briefly describe what happened and show your calculations. Assume isotropic linear behaviors in the materials.
B) Draw, sketch, or explain a design concept to prevent this catastrophe that was described.
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