Mad House
A Mad House/Haunted Swing is typically manufactured by Vekoma or Mack, and depicts a pre show, then another room, then the actual ride with a typical storyline in order to make the actual ride make (some) sense before releasing the visitors back into the wild of the theme park with some sort of satisfied, confused or annoyed mood.
The Ride
A MH/HS ride is where you sit on a bench with the lapbar lowered and you slightly tilt back and forth whilst the drum on the outside just randomly rolls in any direction. These rides are usually quite well themed with quite good plots to explain why you're being spun like this. The only exception is the one at Mandyland. Don't ride it. It's not worth it.
There are only a few problems with MH/HS rides, and thats mainly to do with the SFX (Music, lighting, sparkly stuff) that is usually placed on the ride in either the pre show, the other room or the actual ride. Or all three. Very rarely do all the effects work.