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Question

A circle is made by bending a rod having a uniform mass distribution. It's then cut in half along the diameter. If the radius of the circle was r, find the center of mass of the semicircle for a coordinate system that has its origin at the center of the circle.

Accepted Answer

$\left(x_{\operatorname{cm},}y_{\operatorname{cm}}\right)=\left(0,\frac{2r}{\pi}\right)$

Answer

$\left(x_{\operatorname{cm},}y_{\operatorname{cm}}\right)=\left(0,\frac{2r}{\pi}\right)$

Answer

$\left(x_{\operatorname{cm},}y_{\operatorname{cm}}\right)=\left(0,\frac{2r}{\pi}\right)$

Answer

$\left(x_{\operatorname{cm},}y_{\operatorname{cm}}\right)=\left(0,\frac{2r}{\pi}\right)$

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A circle is made by bending a rod having a uniform mass distribution. It's then cut in half along the diameter. If the radius of the circle was r, find the center of mass of the semicircle for a coordinate system that has its origin at the center of the circle.