A 23 kg cabinet is mounted on castors allowing it to move freely on the floor. If a 204 N force ($F$) is applied, determine the acceleration of the centre of gravity, and the range of $h$ in mm for which the cabinet will not tip.

$d$ = 625 mm

$b$ = 380 mm

$a_{G}$ = [m/s$^2$]

$h_{max}$ = [mm]

$h_{min}$ = [mm]