Place the ham, fat side down, in a roasting pan. Add cola to half cover the ham. Bake at 350°F, allowing 15 minutes per pound. Baste the ham frequently with the cola.
Remove the ham from the pan, skin it, and rub well with dry mustard, pepper, breadcrumbs and brown sugar. Press the coating into the fat. Place the ham on a rack, return to a 350°F oven for 35 to 40 minutes, and baste with cola.