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A roll of toilet paper has inner radius R1 and initial outer radius R2. The initial mass and length of the paper are M and L, respectively. The roll is mounted on the the EasyWipe 2000, K-Mart's new totally frictionless toilet paper dispensor. A tiny length initially hangs loose from the edge and begins to fall, unwinding the toilet roll. Find the speed of the end of the toilet paper as a function of the distance x that the end has fallen. Assume that x is less than the distance from the toilet roll to the floor. (Take into account the decrease in mass and radius of the toilet roll as it unwinds.) |  |
Hardcopy entries should be submitted in class by noon on Monday of next week. Answers should be concise but complete.