# Rolling Motion Up an Incline

1. Mar 26, 2015

### John Kolby

1. The problem statement, all variables and given/known data
A hollow sphere of mass M and radius R (I = 2MR2 /3) is released from rest at height h and rolls down a curved surface without slipping until it reaches the lowest point, O..

The curve to the right of O is frictionless. If the sphere continues past point O, what vertical height will it reach?
(In the diagram, the curve looks like a semi circle)
2. Relevant equations
KEr = 1/2 M W2
KEl = 1/2MV2

3. The attempt at a solution
According to my knowledge, if its frictionless and energy is conserved it should reach the same high.

mgh = 1/2 M W2 + 1/2MV2

**If I did something wrong I apologize, first time on this forum

2. Mar 26, 2015

### SammyS

Staff Emeritus
Hello John Kolby. Welcome to PF !

Does the rotation of the sphere change once it gets to the frictionless part of the curve?

Does its rotation correspond to some amount of kinetic energy?

3. Mar 26, 2015

### John Kolby

I don't think the rotation changes. The rotation accounts to Kr which I account for with 1/2MW2

4. Mar 26, 2015

### John Kolby

Solved it thank you!