# 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.

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