A hollow sphere of mass M and radius R = 0.15 m, with rotational inertia I = 0.040 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 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 = 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) MR. The its total kinetic energy and the speed of its center of mass d- Im

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A hollow sphere of mass M and radius R = 0.15 m, with rotational inertia I = 0.040
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 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 =
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)
MR. The
its total kinetic energy
and
the speed of its center of mass
d - Im
Transcribed Image Text:A hollow sphere of mass M and radius R = 0.15 m, with rotational inertia I = 0.040 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 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 = 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) MR. The its total kinetic energy and the speed of its center of mass d - Im
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