# Riding The Sinusoid

**Classical Mechanics**Level 5

There is a point mass \(M\) on a sinusoid path. The height of the curve is described by the equation \(y(x)=A\cos(x)+B\) where \(A=B=1\text{ m}\). The initial position of the point is \({x}_{0}=0.7\) and starts moving from rest.

Find the period of the motion in seconds to the nearest integer.

**Details and Assumptions**:

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

There is no friction between the body and the surface.