What is the velocity of the center of the sphere


Solve the below problem:

Q: A uniform sphere of radius r is placed at corner A and is given a slight clockwise motion. Assuming that the corner is sharp and becomes slightly embedded in the sphere, so that the coefficient of static friction at A is very large, determine

(a) The angle ß through which the sphere will have rotated when it loses contact with the corner,

(b) The corresponding velocity of the center of the sphere.

1659_Velocity of the center of the sphere.jpg

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Mechanical Engineering: What is the velocity of the center of the sphere
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