Whereas a misfire would cause the engine to 'shake', this should not normally be transmitted to the frame/body to make the car shake. However, even a properly running engine will cause some sort of shaking of the car if a motor mount has collapsed. Look for signs of recent leakage around them, and use the 13 mm bolt-head test to check.

Steve

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'91 MB 190E 2.3
'08 RAV4 Ltd 3.5
'83 Lazy Daze m'home 5.7