Hello, I'd like to help you with your question.
It sounds like your mother might benefit from a medication adjustment. She should not be acting out like she is. But first she may need a full medical evaluation to be sure that nothing is wrong with her physically. Although it is unlikely, it is always a safe bet to be screened physically to be sure you are not treating someone for an emotional issue and they actually have something wrong physically.
If your mother is cleared medically, then it may be a good idea to have a psychiatrist look at her medications. Although it is possible for her to be violent because of her diagnosis, there are medications that can help her feel calmer.
You may also want to look into your local community mental health center for housing. If your mother is violent enough to upset your grandmother, it may not be a good idea to leave them together. Most community mental health centers offer housing with staff on site to help with people who struggle with diagnoses like your mother's. They can also help with life goals so she can benefit from the support.
Here are some resources to help you find help:
You may also want to look into NAMI which helps those who have family members who are mentally ill. They provide support and education so you don't feel alone:
I hope this has helped you,