Attach the tip of a tail of a character to an object

I’m trying to connect a character with two skeletal meshes that look like braids to a fixed object. The braids are attached to the head and tail of the character and I tried to connect the other ends to the object with a physics constraint. The goal is that the movements of the braids physically simulate while the character is moving. However, the ends of the braids do not remain attached to the object. Is this even possible? and if so, what would be the best approach?

I can also live with faking it, but there must be a way… (I’m pretty new to all of this…)