Problem

A metal rod with a length density (mass per unit length) λ is bent into a circular arc of...

A metal rod with a length density (mass per unit length) λ is bent into a circular arc of radius R and subtending a total angle of ϕ, as shown in the figure. What is the distance of the center of mass of this arc from O as a function of the angle ϕ? Plot this center-of-mass coordinate as a function of ϕ.

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