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·m² about a line through its center of mass, rolls without slipping ) = 30° to the horizontal. At a certain position, say at a height hi nere's total kinetic energy (its center of mass kinetic energy plus ergy) is 20 J. (Hint: The moment of inertia of such a halo sphere nslational speed of a point on the surface of the sphere is the same ater of mass of the sphere) What ratio of this total kinetic energy is rotational? O What is the speed of the center of mass of the sphere at this positi

·m² about a line through its center of mass, rolls without slipping ) = 30° to the horizontal. At a certain position, say at a height hi nere's total kinetic energy (its center of mass kinetic energy plus ergy) is 20 J. (Hint: The moment of inertia of such a halo sphere nslational speed of a point on the surface of the sphere is the same ater of mass of the sphere) What ratio of this total kinetic energy is rotational? O What is the speed of the center of mass of the sphere at this positi

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A hollow sphere of mass M and radius R = 0.15 m, with rotational inertia I = 0.040 kg · m² 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 hi 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 = MR². 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) (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? (5 points) 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
Transcribed Image Text:A hollow sphere of mass M and radius R = 0.15 m, with rotational inertia I = 0.040 kg · m² 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 hi 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 = MR². 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) (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? (5 points) 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
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