Why do a window raddle when a Trumpet is played?

Answer 1

Sympathetic vibration causes the window to rattle when a Trumpet is played.

This occurs when the pressure wavelength equals the resonant frequency of the pane of glass.

A trumpet can be used to shatter drinking glasses by first finding the the frequency the glass sounds at by pinging it like a bell, then playing that note at close range and very loud at it. Vibrations will build in the glass which eventually flexes the material so much it shatters.

Sympathetic vibration is the reason why soldiers "Break Step" when they cross a bridge or walk up stairs.