# Mechanics Challenge 1

**Classical Mechanics**Level 5

If the time period can be written as \(p^a q^b\) where \(p,q\) are prime numbers and \(a,b\) are real numbers, give your answer as \(p + a + q + b\).

**Details and Assumptions**

Neglect oscillations in the horizontal direction.

Oscillations are very small.

Take \(g = 10 m{s}^{-2}\).