Bad engine mount?

[aequitasmurphy]

Just had a quick question, an issue came up with my car yesterday. I carpool with my wife to work, we work on different campuses so I take a shuttle after the drive. Anyways, I was stuck at work late so she drove home, the issue came up sometime during her drive, and she didn't tell me about it. Last night I drove the car, it shakes pretty badly when accelerating, seems to feel like the drive side front. Only happens when accelerating, when staying a constant speed or at idle it feels smooth. Could this be a bad engine/transmission mount? Also, don't know if this would be related, i just did some work to my car and changed the oil. I dropped a socket extension in the engine bay, and it landed near the oil filter. Well when I grabbed it, my hand sank into some oil substance. Was super thick and surrounded the extension. Almost like yogurt but thicker, black with a sheen to it. I had the power steering pump and torn CV boot replaced 3+ years ago so I doubt anything stuck around that long. Also just had the tires replaced last month, I know tires would be a constant vibration though. I took a picture of that so I will try to find it and post here if needed. I was worried it could have been the transmission, but that seems to be doing ok. Don't know if this is just engine/transmission mounts or anything else in the front end. It's a 2006 base GP. Thank you guys in advance for your assistance.

 

[WarStryker13]

The factory mounts were hydraulic, so that goop was probably a mix of the old engine oil and the fluid.

I'd check the CV shafts, those will vibrate on acceleration. And double check the torque on the spindle nut, I've had one come loose while driving and scare the crap out of me.

Last would be the control arms, if the bushings are worn they could amplify any vibration that's currently there.

 

[Scottydoggs]

sounds like a bad axle if this is only driving and on the gas, let off the gas and it goes away, its a axle for sure.