## Bonus Problems

Enjoy these bonus problems that I will assign once a week or so. Problems are due at the beginning of class. To receive*any*credit, problems must be in on time, done completely on your own (no friends, no internet, etc), solved neatly and clearly, and

*completely*correct. Basically, don't attempt these if you are not completely caught up in class.

#### Due Thursday, November 14, 2013

### Squaring the Circle

A uniform metal plate has a length 4 R. The plate is bent in half at right angles and placed on a horizontal cylinder of radius R as shown. The top half of the plate is horizontal. The cylinder is fixed. What is the minimum coefficient of static friction μ_{s}between the plate and the cylinder that allows the plate to remain at rest?