Solution
= Solution
For uniform surface density $m_0/(\pi R^2)$,
$$
I=\frac{m_0}{\pi R^2}
\int_0^{2\pi}\int_0^Rr^2(r\,dr\,d\theta)
=\boxed{\frac12m_0R^2}.
$$
= Solution
For uniform surface density $m_0/(\pi R^2)$,
$$
I=\frac{m_0}{\pi R^2}
\int_0^{2\pi}\int_0^Rr^2(r\,dr\,d\theta)
=\boxed{\frac12m_0R^2}.
$$