shakes

possible bad tire or balance,motor mount,trans mount.do you feel it in steering wheel? does it shake under power,at coast? check front end components.Hub bearing,loose lugs. Its hard to determine these symptoms reading about them,if i was driving it i could be exact but i hope this gave you some direction,start with the basics of elimination and proceed.

Have the tire balance checked, make sure there are no bent rims, also, make sure the tires are good with no shifted belts. If the vibration goes away after 35, chances are it is a tire balance issue.