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A 40-cm-diameter, 80-cm-tall, 25 kg hollow cylinder is placed on top of a 40-cm-diameter, 30-cm-tall, 100...

A 40-cm-diameter, 80-cm-tall, 25 kg hollow cylinder is placed on top of a 40-cm-diameter, 30-cm-tall, 100 kg cylinder of solid aluminum, then the two are sent sliding across frictionless ice. The static and kinetic coefficients of friction between the cylinders are 0.45 and 0.25, respectively. Air resistance cannot be neglected.

Part A: What is the maximum speed the cylinders can have without the top cylinder sliding off?

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