This is the figure given.
My Attempt
##T=2\pi \sqrt\frac {I}{0.5gd}##
##\frac {m_r} {l} ##
##dm= \frac {m} {l}dx##
##dI = dm_r x^2##
##dI=(\frac {m_r} {l}dx)x^2##
##I= \int_l^0 (\frac {m_r} {l}dx)x^2 \, dx ##
##I_c.m=\frac {m_r l^2}{3}##
##I_,, = \frac {m_r l^2}{3}+m_p x^2##
Given...