The spinning dual mace contraption is a bit challenging, and it is the only obstacle that may require you to block in order to pass it unscathed. As mentioned in the bear trap description, the spinning dual mace is usually, but not always, bookended by a bear trap on each side. The standard combination of obstacles of which this contraption is the centerpiece will likely be the most technical part of your run, and it may show up several times whether you survive long or not.
Looking ahead past the bear trap, if there is one, you need to time the rotation of the mace. When the mace is coming down in a clockwise motion, roll past the first bear trap as soon as the both the trap and the mace are closest to each other. Once you are past the first mace, the second will be positioned directly opposite the first and coming toward you fast. Gather some speed and keep rolling. Be sure to roll as soon as you are able to because rolling too late can roll you right into the second bear trap. With a minimum of three rolls, keep rolling forward until you are clear of the obstacle and safe on the other side…temporarily.
If you are unable to get lucky with the timing for the spinning dual mace obstacle, you still have the option of blocking. Blocking the large unstoppable mace as it comes swinging toward you is not at all a preferred method of overcoming this specific obstacle, but it is possible. Once you enter the kill zone of the mace, tap and hold your screen for as long as it takes for the mace to move clear past you, then roll right on through,avoiding the next one as quickly as possible.