Unmechanical: Extended

Find a metal beam and a large room, grab onto one end of the beam and start swinging in the air. I found it easiest with a clockwise rotation, so I would start by swing the beam anti-clockwise until it was parallel with the floor and then swing it back the other way. The momentum should carry it round and the beam will push your character round for one spin.
If you keep the momentum going, four rotations in succession should be no problem - after some practice.
I've seen some people do this in the big room that's bottom left from the 'Heart Room', but I did this in Extended in a room with a magnet.
You should also be able to do this in the large cavern with the furnace - when completing the puzzles in the rooms to the left of that cavern, the last puzzle will require a metal beam. Just bring that with you out and completing the spins in this cavern should be the easiest place as it is massive and it should be much easier to avoid walls.
This video from "aka Scratch" demonstrates the achievement.

Forget about "momentum", "left and right", "up and down"... the best and easiest way to get this achievement is available in Extended Level.

"Near the beginning your robot will get smashed and have limited functionality. You will then get repaired. In the large open area of the place where you get repaired is one of the metal planks. I was able to easily swing this one around for the trophy. Try to grab near the edge so you are perpendicular to the plank, not so it's just hanging straight down below you."

Credits to MrBeens from playstationtrophies.org.
(http://www.playstationtrophies.org/forum/unmechanical-extend...)

During Chapter 2, you'll reach an area with a blueish-grey metal structure in the background and you'll have to grab some rubble from a room to the left to raise the water level below in order to complete an open electrical circuit. Use the steel beam and grab onto the end of it, then rock back and forth to get momentum and then turn into the swing to do 4 quick loops in a row for this one. I found it easiest to use both joysticks to do the loops once I got going. This can also be unlocked in Chapter 5 by wedging yourself in the gap between two of the moving pipes.

Check timestamp 0:13:12 in the walkthrough video for this one.

You will need a metal beam.


All you need to make sure is:

1. Have enough room to make the loops without interruption. Touching water does not count as an interruption as you can see in the video.

2. Carry the metal beam from one of its ends.

Shown in video at 4:24

- During chapter 2 you will get to an area were you have to raise the water level to proceed. In that area you will find a metal beam in a small room on the top left corner. You will have to swing that medal beam from left to right a few times to gain momentum, and then start making loops. It helps if you start at the top of the room and also use a downward motion to gain extra momentum. You will need 4 consecutive loops.

I found a super easy solution for this by accident :) In the level where you have to burn 6 pieces of coal in a furnace to build pressure, you then need to go to the bottom left of that map and fill in a bucket like thing with water, drop it in a nearby sphere, and then throw in a flaming lava ball. This will generate some steam and spit the empty bucket back out, most likely landing in the water to the right.

Now if you do this just after you build up the pressure by burning the coal, throwing that last lava ball to generate the steam release will cause the map to tremble for a good 10 seconds or so. IMMEDIATELY AFTER THROWING THE LAVA BALL IN, fly towards the water (your bottom right and catch the bucket with the beam). The map tremors will cause you to shake and because of the weight of the bucket, you will continuously spin in a circle above the water, which puts you still in a floating state and causing this achievement to pop, since you are doing a whole bunch of 360s. It was really easy, hope that helps.

Despite various attempts with the metal beam,i just couldn't get the achievement to pop.I ended up using one of the large boxes when doing the second laser redirection puzzle,i didn't actually do a loop,all i did swing from left to right and after awhile the achievement popped.