A compound pendulum for a large clock has the geometry shown. Consider the arm to be a slender rod. i$.$e$.{}_{}$Jg=1?12Marm $L^2.$ The polar mass moment of inertia of the bob about its center of mass is$.J_G=\frac{1}{12}{m}_{\text{b}\text{o}\text{b}}(a^2+b^2).$ The distance from the pivot point to the center of mass of the bob $i$

a $=0\mathrm{.}5$ m$,$ b $=0\mathrm{.}08$m$,$ Mbob $=70$kg$,$ Marm $=1\mathrm{.}5$ kg$,$ L $=0\mathrm{.}7$m

a$)$ What is the period, Tau, of the pendulum?

b$)$ Find the Center of Percussion of the compound pendulum