# Metallic Plate on Cylinder (A/B/2/2014)

**Classical Mechanics**Level 4

The minimum coefficient of static friction \(\mu_s\) in order the plate to be in equilibrium can be expressed as:

\(\mu_s = \sqrt{a} - b \)

Where \(a\) and \(b\) are co-prime square free integers.

*Find the value of \(a+b\)*

**Assumptions**

Use \(g\) , the gravitational acceleration \( 9.8 m/s^2 \) if needed.

*Note:*
This problem was part of the Greek National Physics Contest 2014.