Question

a uniform solid sphere of radius r is placed at the corner a of a table and is given a slight clockwise motion.

Answer 1

Answer:

Part i)

Angle made by the sphere from vertical is

Part ii)

velocity of the center of the sphere is

Explanation;

As we know that the sphere will rotate about the contact point on the table

So here we can say that the Normal force on the sphere will be ZERO when it is just about to drop

so we have

also by energy conservation

here we know

now from above two equations we have

now from above equation the velocity of the COM of the sphere is given as

Explanation:

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