Tranny problem with my 1983 chevy truck....

I have a 1983 Chevy Silverado with a 305 4barrel and a 350 Turbo tranny. the problem im having is when the tranny shifts to 2nd and i push on the gas, the transmission is making a vibrating sound. Whats the deal?

you might check the fly wheel bolts..

Check the tranny mount, motor mounts while you're there. My money is on a loose torque converter or bell housing is loose from the engine block.