classy,
The father hitting her once with a belt, in a calm manner as to let her know it was punishment for an action is perfectly acceptable. That is not a crime. A little sting of pain to emphasize a point of punishment to CORRECT A BEHAVIOR is what punishment is for.
What this father did was anything but a correct form of punishment. He let his anger control him and he vented his wrath and anger upon his daughter. That is physical abuse, mental abuse, domestic violence, assault, assault with a weapon, and several other minor criminal offenses that could be included with his actions. As a JUDGE of the law he should know better. He should know his actions were breaking the law as he went overboard.
Also something like that is rarely a one time fluke occurrence. If you watch the way he grabs her and then yells are her trying to rationalize his behavior as he vents his rage it is easy to tell this is something he does and does quite often. The fact the mother was terrified and reacted in a manner that was not to immediately try to stop or resolve the situation before it got out of control shows he has not only done this before, but has more than likely done the same thing to her as well. That is supposition, but an easy one to make because it is more than likely correct.
The fact that it took 7 years to post it shows it took that long for her to gather the courage to speak out against his action finally. Especially if she was scared shitless of him all those years because of his abuse. It also could be because she is trying to protect someone still living with that monster. Such as a younger sibling or her mother who may have recently received similar treatment. Again supposition, but it is something that has happened disturbingly often enough.
The fact that you condone such violence only shows how disturbed you are as well. Now we know why your posts on this forum as so fucked up.