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Solid spheres will roll faster than hoops.
A solid sphere of radius 3 cm and mass of 100 g rolls down a 30 degree incline from a height of 1 m. A hoop of the same mass and radius rolls down the same incline from the same height. What is the linear velocity of each body at the bottom of the incline? From what height would the body with the larger moment of inertia have to roll down from so that the two linear velocities at the bottom of the incline would be the same?
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