A sphere is projected with an under twist down a rough inclined plane, show that it will turn back in the course of its motion if 2a w (u - tan α) > Spu, where u is the initial linear velocity and the initial angular velocity of he sphere, u is the coefficient of friction and a is the inclination of the plane.

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A sphere is projected with an under twist down a rough inclined
plane, show that it will turn back in the course of its motion if 2a w (u – tan α) >
5μu, where u is the initial linear velocity and w the initial angular velocity of
the sphere, µ is the coefficient of friction and a is the inclination of the plane.
H
Transcribed Image Text:A sphere is projected with an under twist down a rough inclined plane, show that it will turn back in the course of its motion if 2a w (u – tan α) > 5μu, where u is the initial linear velocity and w the initial angular velocity of the sphere, µ is the coefficient of friction and a is the inclination of the plane. H
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