Boneless chuck roast (which can also be labeled as a shoulder roast, chuck eye roast, or arm chuck roast) is the best cut of beef for fall apart tender ragu.  It boasts a succulent, beefy flavor and melt-in-your mouth texture due to its rich marbling. The marbling melts as it slow cooks, creating a self-basting effect that drips over the meat, keeping it extra juicy and infusing it with a coveted depth of flavor.  It is guaranteed to become fall apart tender when cooked long enough.