(Solved): Consider the swinging mallet, sketched below. The axis of rotation is indicated by the dotted line ...

Consider the swinging mallet, sketched below. The axis of rotation is indicated by the dotted line, located \( 1 / 4 \) of the way up a thick handle of non-negligible thickness (width \( = \) height \( =l_{2} \) ). At the end of the handle is the mallet head of length \( l_{3} \) and radius \( =\mathrm{R} \). Assume mass of the handle \( = \) \( m_{1} \) and mass of the mallet head \( =m_{2} \). Task: Find the moment of inertia, \( \mathrm{I}_{0} \), around the indicated axis of rotation.