First what type of car is it. rwd or front wheel drive? you can visually inspect depending on what type of car ,vibration while accelerating,cluncking noise when trans shifts gear 1st to 2nd mostly, this being the hardest shift under hard acceleration. or just take the vehicle to have the mounts inspected.
a vibrating transmission could be caused by a bad transmission mount. If the mount breaks then the transmission will physically move causing it to vibrate.
Broken transmission mount? Bad "U" joint? Bad center bearing? Driveshaft out of balance?
could be a bad motor or transmission mount
Likely either a bad/failing motor mount, or a bad transmission mount. Is it a manual or automatic transmission? If it's automatic; the clutch that controls the reverse gear could be going bad. Have your mounts checked first. Simple, easy to replace, and the least expensive of the repair solutions vs. a bad transmission or clutch.
A transmission mount, as its name implies, is a place for the transmission to mount to the vehicle. It is also used to dampen vibrations from the transmission.
You've got a bad motor/transmission mount.
Some could be's, Bad u-joints in driveshaft, Bad transmission mount. Transmission cross member loose.
Loosen the transmission mount retaining bolts. Loosen the back to engine retaining bolts. Jack the transmission of approximately 1 inch. Remove the transmission mount bolts. Remove the transmission mount. Reverse the process to install the new transmission mount.
Begin by loosening your 1991 Chevy Camaro transmission mount bolt. Jack the transmission up a few inches. Remove the transmission mount bolt and the transmission mount bushing. Put the new transmission mount bushing in and reverse the process.
It is important to know the symptoms of a bad car part. The symptoms of a bad motor or transmission mounts are loss the car part, shaking and lots of noise.
It is possible. Replace any broken mount, and this will eliminate the possibility.
This sounds like an engine or transmission mount has gone bad and needs replaced.