That depends on what Mori mill you have. Also what control. I would not put a right angle head in a sv50/500/503, since you can not slow down the swing arm. The NV series, you can specify large tool, so it slows down. There is also a weight limit for the ATC on all the Mori's. Most 40 taper machines were like 18 lbs max. all machines you would need to specify large tool in set up to leave pots on either side open. Don't know how big of head your looking at, how heavy, how long it is. So no way to tell you yes or no.