A hollow sphere of mass M and radius R kg · m? about a line through its center of mass, rolls without slipping up a surface inclined at 0 = 30° to the horizontal. At a certain position, say at a height h1 from the ground, the sphere's total kinetic energy (its center of mass kinetic energy plus its rotational kinetic energy) is 20 J. (Hint: The moment of inertia of such a halo sphere is I = MR?. The translational speed of a point on the surface of the sphere is the same as the speed of the center of mass of the sphere) 0.15 m, with rotational inertia I = 0.040 (a) What ratio of this total kinetic energy is rotational? (b) What is the speed of the center of mass of the sphere at this position? 1 m up the incline from this (initial) position, using When the sphere has moved d conservation of energy, find (c) its total kinetic energy and (d) the speed of its center of mass d = 1m

A hollow sphere of mass M and radius R kg · m? about a line through its center of mass, rolls without slipping up a surface inclined at 0 = 30° to the horizontal. At a certain position, say at a height h1 from the ground, the sphere's total kinetic energy (its center of mass kinetic energy plus its rotational kinetic energy) is 20 J. (Hint: The moment of inertia of such a halo sphere is I = MR?. The translational speed of a point on the surface of the sphere is the same as the speed of the center of mass of the sphere) 0.15 m, with rotational inertia I = 0.040 (a) What ratio of this total kinetic energy is rotational? (b) What is the speed of the center of mass of the sphere at this position? 1 m up the incline from this (initial) position, using When the sphere has moved d conservation of energy, find (c) its total kinetic energy and (d) the speed of its center of mass d = 1m

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter8: Rotational Equilibrium And Rotational Dynamics

Section: Chapter Questions

Problem 48P: A solid uniform sphere of mass m and radius R rolls without slipping down an incline of height h....

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