Wheezy is tumbling sideways and resembles a cylinder (of radius 10 cm) rolling down hill. Mumble tumbles down as if doing somersaults and resembles a sphere (of radius 20 cm) rolling down hill. Who wins the race and what is the winner's acceleration
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Winter is ending. Two penguins, Wheezy and Mumble, are racing down a formerly icy slope into the water below. They have the same mass. The slope is angled at eight degrees to the horizontal. They both start from the same position at the same time, and move downhill entirely due to gravity alone. There is a coefficient of static friction of 0.12 between the penguins and the ground. This time, since they can't slide down the ice, they try rolling all the way down. Wheezy is tumbling sideways and resembles a cylinder (of radius 10 cm) rolling down hill. Mumble tumbles down as if doing somersaults and resembles a sphere (of radius 20 cm) rolling down hill. Who wins the race and what is the winner's acceleration? |
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