Recent content by engg05

I simplified the problem definition by using a set of expressions that already solved for the circle segment rather than deriving anything myself. \theta is a function of the cut location c. I subtracted moments between a full circle and the shape above to leave me with the "remaining"...

Thank you all for your input. SteamKing - your approach was great thank you for your help. Final solution: C_y = \frac{\pi r^3-\frac{r^2\left(r+\frac{4rsin^3(\frac{\theta}{2})}{3(\theta-sin\theta)}\right)\left(\theta-sin\theta\right)}{2}}{\pi r^2-\frac{r^2\left(\theta-sin\theta\right)}{2}}...

Homework Statement I am after finding the centroid of the remaining area (hatched) when a circle is cut by a line. I made a diagram in CAD that demonstrates the problem. The idea is that, starting from the bottom of the circle, a cut is taken leaving a remaining shape whose area and...