Weird Vibration!

Do you guys know what the name is for that sleave?
It's the tail shaft bushing, the same part is used on automatics. You will need to remove the tranny & tail housing. You will also need to change the seal. Any decent trans shop should have this bushing. A local shop changed mine for all of $5 (including part!) but $20 is probably more realistic. If left untreated it can destroy the tailhousing, bought a trans for cheap once not knowing it was messed up. Note there are 2 types of bushing, one large (for 727 auto & all big 833) & one small (904 auto, some 3-speed, & some early A-body 833).