Describe what moves
Say whether the sink, pipework or cabinet resonates and whether anything was recently stored against the unit. Include a new sound separately.
Keep mounting work professional
The disposer is heavy and connected to plumbing and power. Do not loosen its mounting to test movement. Assessment can consider alignment and condition before a repair decision.
A useful distinction
Waste pipework touching a cupboard can transmit a modest vibration into a louder resonance. Include visible contact already noticed, while keeping mounting and electrical connections untouched until suitable assessment.