Kinetic Energy of a Rolling Ball on a Horizontal Plane

[ChuckNorris]

Homework Statement

Uniform ball or mass m and radius r rolls on a horizontal plane without sipping, at the same time moving along a circular path of radius R. Speed of the center of mass is constant and equals v. Find it's kinetic energy.

Homework Equations

I=2/5 m r^2

The Attempt at a Solution

KE of ball's translation T1=(m v^2)/2

KE of ball's rotation T2=(I w^2)/2 ( w - angular velocity, from w r = v => w= v/r)

My problem is with the ball moving along a circle of radius R. Where does it come into play?
Do i have to add the KE of ball rotation around the center of the circle?

Any help will be appreciated.

 

[Doc Al]

The ball is also rotating about a vertical axis as it moves in the circle.