Car shakes once I hit 60mph but as soon as I let off it stops what causes this?

Axle tripod... FYI, that's the inner cv joint!!!... Very common problem on front wheel drive vehicles... Just keep on looking!!!!

I had same issue. Car shook from 60-75mph. Took foot off pedal it was fine. I changed a tire that had barely any thread left and shaking stopped. Good luck. U probably have a tire that is old. Don't know how that made the car shake never saw it before but that's what fixed mine. Was pure luck I changed tire too.