Center Of Mass Of A Semicircular Arc

Question

A thin, uniform rod of length $$L$$ is bent into a semicircular arc. Determine the distance of the rod's center of mass from the center of curvature, measured along the axis of symmetry.

Accepted Answer

At a distance $$\frac{2L}{\pi^2}$$ from the center of curvature along the axis of symmetry

Answer

At a distance $$\frac{L}{\pi}$$ from the center of curvature along the axis of symmetry

Answer

At a distance $$\frac{L}{2}$$ from the center of curvature along the axis of symmetry

Answer

At a distance $$\frac{2L}{\pi}$$ from the center of curvature along the axis of symmetry

Center Of Mass Of A Semicircular Arc

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