Riding The Sinusoid

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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