Neat concept - I particularly like that your game is relatively hands-off with the explanation and lets the player innately discover what's going on and how to proceed. Also really liked how you could chain objects off one side of the scale and still have the core mechanic work properly - at one point had a chain of umbrellas going which was pretty satisfying.
The actual movement of the pieces was probably the only part that felt off - I feel like the concept would work almost as effectively if clicking the object simply anchored to it at the clicked position. Toward the later levels, trying to coax the objects into a stable position started feel more frustrating than rewarding, but I can also see why you might have chosen the current control scheme.
Good job on the game!