Can we use common mineral oil to lubercate a Berkel Meat Slicer?

The Problem most likely is that remnants or build up is inside the shaft of the slide that the arm rides on, under the slicer you will see a rod that it rides on, most of the time it gets dirty and build up occurs, I may get some back lash but I unplug machine, lift up, heat up the rod and the part that rides on it with a blow torch and that melts all the junk away carefully not to burn yourself i slide it up, then remove remnants with steel wool (hot) then repeat and clean rod until moving free, then oil both with mineral oil. and if you see some one using veggie oil or pam on it beat them with a stick across the knuckles firmly until they understand, repeat if necessary. lol
Good luck

my berkel slicer model 818 the motor runs and the automatic table will slid but the blade does not torn

Have you looked at Berkels web page

http://askville.amazon.com/obtain-manual-Rival-meat-slicer-model-%231030V/AnswerViewer.do?requestId=11029041

here you go
https://my.vulcanfeg.com/resourcecenter/vulcanwolfberkel/ProductDocumentation/BK46700.pdf

https://my.vulcanfeg.com/resourcecenter/vulcanwolfberkel/ProductDocumentation/BK46700.pdf

under slicer is a rod arm slides on, heat it with a torch melt all the junk away from using vegetable oil clean rod with steel wool, never use veggie oil,use mineral oil

I would get it rebuilt, most or all electric motor places will do it

most times the belt fill slip if you overload it and no they don't have oil holes

You have to put mineral oil on the bar that the arm slides on otherwise it gets full of junk and stiffens up