Question

a particle of mass m begins to slide down a fixed smooth sphere from the top with negligible initial velocity.what is its tangential accwhen it breaks offthe sphere.
1-2g/3
2-root5g/3
3-g
4-g/3

Answer 1

Please find the answer below:

Keeping in view that; a particle of mass m begins to slide down a fixed smooth sphere from the top with negligible initial velocity.

Its tangential acc when it breaks off the sphere is g√5/3.

Answer 2

In The moment where the particle breaks off the sphere it is in free-fall.

The normal force will be equal to zero.

The smaller the mass is, it will complete a quarter circle.

That is the reason why it will fall freely under gravity.

Therefore,  the answer will be Option 3: g!