Sounds like a broken motor mount to me...

www.toadhallbook.com is where I got my Haynes manual for my W124...I don't remember the link though...do a web search.

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2009 ML350 (106K) - Family vehicle
2001 CLK430 Cabriolet (80K) - Wife's car
2005 BMW 645CI (138K) - My daily driver
2016 Mustang (32K) - Daughter's car