It is for a sim card. When these computers first came out you could order them with the ability you use cell phone technology to get online. It is like the wireless dongles you can buy from your cell phone provider to go online anywhere not just in Wi-Fi areas. I am not sure how it works or if you have to have something else hooked up to the computer to make it work..
If yours is a front load washer it's probably the spider assembly is cracked or broken. The spider assembly is how the shaft attaches to the drum. I would check your owners manual to see if it's under warranty. Some have a lifetime warranty on the drum but the outer tub might need replaced if it did damage to it. The outer tub probably is only under warranty for about 5 years.
Your problem is probably the jack that is soldered to the motherboard. Either the solder is cracked and loose or one of the pins that carry the current to the motherboard is broke. It can be fixed but is a hard task to do I have done this repair a few times for people. It requires a compete breakdown of the laptop to the motherboard and good soldering skills. Most computer repair shops will not do this type of repair. But first check your AC adapter to see if the problem is with it.