Problems With Solutions
Andrew's:
Problem 1 and Solution 1
Problem 2 and Solution 2
The Physics Classroom has some good uniform circular motion problems; try problems 2-15
Here is only one problem but it has a very well laid out solution. Be aware of their notation. They do use "x" to label the radial direction. We suggest not doing that and labeling it as the radial r-direction.
Problems Without Solutions
Worked Examples
Car on a flat curve
Loop the loop