Two collars A and $B$ that slide on vertical rods with negligible friction are connected by a $30-$in$.$ cord that passes over a fixed shaft at $C.$ The coefficient of static friction between the cord and the fixed shaft is $0\mathrm{.}30.$ Knowing that the weight of collar $B$ is $8$ lb $,$ determine, for values of $$ from $0$ to $60$ and using $10$ increments, the largest and smallest weight of collarA for which equilibrium is maintained.