Is it normal for this kind of emotional abuse?

I really need help. I feel like i might be emotionally abused by my father. He doesnt say it word for word, but he implies it all the time that i am worthless and stupid. I am constantly afraid to ask him simple questions, because i am afraid of what his reaction is going to be. I am CONSTANTLY paranoid, all the time because i feel like he is going to catch me doing something wrong and i am afraid of that. He tells me that talking to me is like talking to a 4 year old. Even though this was a very long time ago, i still remeber it as he told me that i was always wrong and he was always right. Today, i accidently left the juice container on the counter with my cup, and totally forgot that it was there. Normally when i would hear that my dad is home i would run downstairs and clean up everything,cause again i am so paranoid. And this was just one time that he caught me. He looked at me and said. "What does it take to get through to you?". I honestly didnt know what he was refering to. And when i asked what he was talking about he was like "So you think im stupid?" Then he told me to get my phone and bring it to him. And then he told me to get the juice and the cup and bring it up to my room, like thats gonna do anything. It's the way that he talks to me, all the time, that makes me afraid of him. Hes so scary and very intimidating. But i am to afraid to tell him how i really feel. One time there was also a bowl of like crab salad, that i was eating, i got full, so i put it back in the fridge, but I was going to go back and eat it later. He then made me sit in front of him and finish the whole thing. Things like this have happened MANY times, and it always ends up in me crying. I try to tell my mom, but she doesnt understand and makes no effort to solve the situation. She says that she talks to him, but things dont change. As she saw me crying tonight i said "Whatever, i guess im worthless" and she grabbed me by my shoulders and pushed me twice. And when an incident like this happens with my dad and im crying she tells me to stop crying and dry it up, and that what im doing is just drama. I felt like this for so long, and it kills me that she knows it hurts me and she doesnt try to solve anything. She always implies that it's my fault that my dad basically talks to me like im a dog. The only time i can remeber him physically harming me is when he flicked my head with his finger. It just hurts me that my mom knows that im hurting and doesnt save me. I have cut my self before, and contemplated suicide, but dont worry, i would NEVER do it. So im am sorry for the long post, but i feel the best way for people to help me is if i tell the whole story. So my question is, am i getting emotional abused by my father? Like i said i am always paranoid when he is around,i am afraid to ask him simple questions i never like him being in the house, i am afraid of him, the way that he talks to me is scary, intimidating, and demeaning, even though he has never flat out called me a name, it is very obvious that he implies that im stupid sometimes, i am to afraid to talk to him about it, and it doesnt happen all the time, but it does happen alot, maybe once a month and if not that, once every two months. My dad can be great sometimes, but the times he isnt, ruins the times he is good. Another things i should add, i talk really fast, and its something that i cant help, i think it might be cognitive, but he has sometimes teased me for it, and when he asks me a question, i get nervous and afraid, because if i give a dumb answer, he might think im stupid. I can never be myself around him. Whenever im dancing or singing or just being silly or having fun, and he walks in the room, i shield down and stop. I lie to him because i am afraid of what hes going to think. Then he gets mad at me for lying to him, even though hes the reason for it. So am i getting emotionally abused? So please comment and vote