The phenomina you describe is characteristic of a forward curve centrifugal fan [ i.e. SQUIRREL CAGE}.
Typically the motor HP is selected for the fan pressure duty. So if the fan is allowed to operate at less than design Static Pressure, it will move more air, and WILL move towards overload of motor. At free flow [no back pressure and inlet pressure to piush against, the fan will move far more than design flow and impose an overload condition on the motor, UNLESS THE MOTOR WAS MATCHED TO THE FAN WITH THE HP SELECTED TO MEET FREE FLOW CONDITIONS.
It is not uncommon for squirrel cage motors to become exposed to this type overload when the unit it is installed in, is opened to be serviced. The opening of the unit can allow the air to be pulled in, and/or discharged out of the unit without being restricted by the ductwork/filter/coil pressure drops.
A classic example of this is in a residential HVAC unit. lmost universally, they employ a forward curve blade. If the unit is opened for servicing any length of time, the motor may run overloaded until it's thermal overload element safety heats up enough to turn the power off through it, or an overload element in the fan circuit will trip.
A FORWARD CURVE BLADE MUST BE USED WITH THE DESIGN STATIC PRESSURE FOR WHICH IT WAS SELECTED!
As someone else mentioned, the classic non overloading blade is the backward curve centrifugal.
Gnordo