Walk forward and push the small cog into the large one. This will cause the entire room to rotate. Run back to the left and wait until the small gate opens on the right. Cruise through the opening and jump onto the cog. Ride it to the top and jump off to the platform on the left.
Ignore the power switch here for now and drop down the ledge to the left. This is a magnified floor, and there is a switch near the far wall that will activate and deactivate it. Make your way over to the switch and deactivate it.
Push the box as far as you can to the right. Run back to the switch and activate it when the crate is approximately halfway between the ledge you came from and the small ladder leading to the upper platform. Jump back up to the previous ledge, hit the switch, then jump down and use the crate to jump across to the ladder, climb this and through the opening before it closes.
Continue to the left until you reach another lever, don’t touch this yet.
Like the previous lever, this will rotate the room, except this time we need to dodge saw blades and electric floors! Move past the lever and grab the nearby crate from beneath the circular saw, pull it until it is beneath the chain hanging from the roof. Return to the lever and throw it, jump up onto the box and then up to the chain.
Wait for the room to rotate, and when you are hanging above the electric floor, wait for the crate to appear beneath the chain and drop onto it. As the room shifts a little more, the crate will start to slide to the left and unfortunately will move straight into the path of another saw blade. As the crate approaches the blade, do a running jump over it to grab the chain hanging above.
Swing and jump over to the left-hand wall and slide to the bottom. Jump across the gap here.