Moving on a platform (moved by physics interactions)

Hey, guys, I'm new and still learning (got some of the basics, and I'm really glad about the progress so far), and managed to solve a few problems by myself, but now I got to something I can't figure out. I'm making a 2d platformer style game, and I created a hanging bridge (hinge joints connecting the main platform and the 'ropes' made out of segments also connected to each other with hinge joints), and the idea is that player can 'swing' the bridge by moving across it), so, naturally, I need the player to stick to the bridge while it is swinging, but for some reason, parenting doesn't accomplish that (it moves player in a shaky way, only few pixels), but when I move the main platform manually in the scene view, it works fine. I just can't figure out what's the problem!