Q$\mathrm{.}2)$ As shown below, a $250$ N block is connected to two smaller blocks by inextensible cables. The coefficient of friction between the $250$ N block and the floor is $0\mathrm{.}24$ and the two pulleys are frictionless.

$($a$)$ Assume $h=2m$ and determine the maximum and minimum weights of the right$-$hand$-$side block for static equilibrium $($no sliding or tipping$).$

$($b$)$ Determine the value of h for which impending motion by slipping and by tipping would occur simultaneously.