How to stack boxes as a column with balanced swinging?

Hi, I am making a simple building game like City Bloxx, but now I am confused about how to make the swinging column as u can see in the video. According to the gameplay, I think there are some points about it:

• It keeps swinging with a certain maximum and minimum angle. In other words, if there is no new piece drop to the column, it will keep swinging with the same angle until game over.

• The swinging range can be changed by stacking new piece. E.g., a piece drops down to the dead center of the top piece of the column, then the swinging range will reduce just like giving a force to balance the column. Inverse, if a piece cannot drop down to the dead center, then the swinging of the column will change according to the position of the piece. Even leading to the game over.

What I am thinking about is using the hinge joint to link the pieces of the column, but I am not sure if it is feasible, and I am not clear about the details of implementation of hinge joint. Or can u give any advise about this?