There are a few reasons why your Playstation 4 might be vibrating. One is that it is being used as a controller. If your Playstation 4 is vibrating because of this, you can try changing the game or console settings to make it stop vibrating. Another reason could be that there is something wrong with the power cord. If this is the case, you can try going to your local store and buying a new power cord for your Playstation 4.