Solution

ID: past-exam-of-the-physics-b-course-of-the-university-of-cambridge/2014/paper-1/section-a/a1/solution

For rolling without slipping through height , conservation of energy gives
A uniform solid sphere has , a solid cylinder , and a pipe . Thus the ball is fastest, then the solid cylinder, then the pipe. A smaller moment of inertia leaves more energy in translation. This assumes release from rest through the same height, adequate static friction and negligible rolling resistance; a thin pipe has .

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