The centre of mass of a homogenous semi-circular plate of radius $\mathrm{r}$ is located at $\mathrm{A}$ as…

The centre of mass of a homogenous semi-circular plate of radius $\mathrm{r}$ is located at $\mathrm{A}$ as shown in the figure. The distance OA is
  1. $\frac{2r}{3 \pi}$
  2. $\frac{4 r}{3 \pi}$
  3. $\frac{3r}{2 \pi}$
  4. $\frac{r}{\pi}$

Solution

The COM of a homogeneous semi-circular plate is located at $\frac{4 \mathrm{r}}{3 \pi}$ distance from ' $\mathrm{O}$ '.
So, $O A=\frac{4 r}{3 \pi}$

Asked in: AP EAMCET 2022 (05 Jul Shift 2)

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