Given a cantilever beam with a load on the free end, where does the beam fail? Follow up questions regarding that.

Assuming the connection to the fixed end attachment points do not fail, the failure would be around the point where cantilever begins

Assuming the beam DOES fail (the free-end load might not be enough sheer force to cause failure) and the beam has a uniform weight distribution, the beam fails where the maximum bending moment occurs...which is the fixed end.