A small steel ball of radius r, placed atop a much larger sphere of radius R, begins to roll under the influence of gravity. Rolling resistance and air resistance are negligible. As the speed of the ball increases, it leaves the surface of the sphere and becomes a projectile. Determine the location at which the ball loses contact with the sphere.
A small steel ball of radius r, placed atop a much larger sphere of radius R, begins to roll under the influence of gravity. Rolling resistance and air resistance are negligible. As the speed of the ball increases, it leaves the surface of the sphere and becomes a projectile. Determine the location at which the ball loses contact with the sphere.
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A small steel ball of radius r. placed atop a much larger sphere of radius R, begins to roll under the influence of gravity. Rolling resistance and air resistance are negligible. As the speed of the ball increases, it leaves the surface of the sphere and becomes 2 projectile. Determine the location at which the ball loses contact with the sphere.
Transcribed Image Text:A small steel ball of radius r, placed atop a much larger sphere of radius R, begins to roll under the influence of gravity. Rolling resistance and air resistance are
negligible. As the speed of the ball increases, it leaves the surface of the sphere and becomes a projectile. Determine the location at which the ball loses contact
with the sphere.
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