Fits of rage, threats of violence, smashing objects and punching holes in walls are all good reasons to get a domestic violence restraining order. Why wait until he seriously hurts someone (or himself). You need protection and he needs help.
You sure report the incident and let him know to see if he agrees to anger management or other counseling. Otherwise the whole family could be dragged to court which will be especially difficult for your mother. Unless the person with title (your mother?) wants to exclude your brother, you will have to leave the residence for your protection.