Actually, there is a lot of misinformation about children being removed from homes for child abuse. Though aproudbyg is describing multiple forms of abuse, the police or authorities do not want to remove children and cannot without exhausting all options first. Unless, there is immediate danger, the authorities would have to go to court. These is threat of harm but it sounds like your mother may need some supportive services to help her with the stress and learn new ways to parent. I am sure what she is doing does not feel good for her either.
If you are in NY, Ohel have preventive services that are free and voluntary. it will not appear on your mother’s record and you can receive the family help.
aproudbyg I think you need to invest in yourself and your children and go and see if you can talk to someone. They can help you find and outlet. Doing volunteer work can give you a place to go and meet other people. Your studies are another place. Speak to the intern if you feel safe. Take care of you. Surviving a parent who is inconsistent is hard and you cannot guess what will happen next so do not try. realize you are not at fault.