please explain the steps to answer $($i$)$ & $($ii$).$ thanks!

$2\mathrm{.}32$ The rigid lever of length l$=0\mathrm{.}8m$ shown in Figure $2\mathrm{.}63$ undergoes small rotations about the pivot axis $O.$A known point mass $m_1=0\mathrm{.}6kg$ is placed on it at a distance l$\_1=0\mathrm{.}6m$ from $O.$ Find the position of another

FIGURE $2\mathrm{.}63$

Inertia System With Lever and Two Point Masses.

point mass $m_2=0\mathrm{.}4kg$ attached to the lever to the left of $m_1$ such that th equivalent mass at A increases by $10\%$ when the lever is considered:

$($i$)$ Massless

$($ii$)$ Heavy, with a mass $m_r=0\mathrm{.}5kg.$