Our plum tree has grown up with two branches in a V shape but the weight of fruit and some strong winds have caused one to partially split off from the trunk. It's still partially attached but is now mainly resting on the ground. I want to cut it off but I'm not sure whether this is a good idea or when to do it. I think that if I leave it through the winter, it will sustain more damage.
Should I just go ahead and cut if off and if so, do I need to put anything on it?
Also, our apple tree has a branch which is dead, should I go ahead and cut that off too?