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A solid uniform sphere of mass "m" and radius "r" rolls without slipping down an incline of height "h".
What forms of mechanical energy is associated with the sphere at any point along the incline when its angular speed is ?
Determine the ratio of the sphere's rotational kinetic energy to its total kinetic energy?
Ā
An 8.0 cm diameter, 400 g sphere is released from rest from the tip of a 2.1 m long, 25-degree incline. It rolls, without slipping, to the bottom.
What is the sphere's angular velocity at the bottom of the incline?
A solid uniform sphere of mass m and radius R rolls without slipping down an incline of height h.
(a) What forms of mechanical energy are associated with the sphere at any point along the incline when its angular speed is ? Answer in words and symbolically in terms of the quantities m, g, y, I,Ā , and v.
(b) What force is acting on the sphere causing it to roll rather than slip down the incline?
(c) Determine the ratio of the sphere's rotational kinetic energy to its total kinetic energy at any instant.