Rotational Mechanics: Sphere collision problem

shreyashebbar

Hello everyone,
Please help me with this problem, as I am getting stuck solving this problem.

A solid sphere of Mass M and Radius R rolling (pure) encounters a protrusion on the surface of height R/4. Its in the form of a step. What can be the maximum velocity V of sphere so that it doesn't leave contact from surface and final velocity?

Attached below is a figure:

Please help.

Thanking in anticipation

Regards

Attached Thumbnails

 

Zubeen

I ts not clear what you actually want to ask !!!!! do you wish to know the least velocity that the sphere should have to get above that protrusion ???

shreyashebbar

Apologize for not making it clear.
Yeup I wish to know the maximum velocity the sphere can roll such that when it strokes the step and rolls over it it doesnt jump is leave touch with the surface.

Regards

tiny-tim

Duplicate to this thread

Zubeen

OK , you should try it first.
let me give you just a hint.
Law of energy conservation. its the hint.
now can you do it ?