Onesandnouhts, I am concerned that there are confilicting views being posted her and it is important that you do things correctly in order to prevent failure.
The problems that I see are:
1. The reduced frequency with the same voltge will increase the flux in the iron and probably cause the motor to fail due to increased iron loss. see
2. The centrifugal switch not operating due to lower speed.
3. Starting capacitor.
1. The flux in the iron should be kept at the design flux which will require that either you reduce the supply voltage by the same ratio as the frequency reduction, or you rewind the stator with more turns.
2. The switch can be modofied by altering the springs to operate at a lower speed.
3. The start capacitor may need to be increased in value to give the same phase shift. I suspect that you will get away with it though.
Adding capacitors across the windings will reduce the current from the suplly and will apear to be improving the situation, but this is just power factor correcting the motor and does not affect the flux in the iron so it will have no bearing on the shortened motor life.
If the motor has been wound to operate on both 50 and 60Hz, then you have no problem.
I have personally experienced a motor on a coolant pump that lasted about 6 weeks between failures. This motor was amnufactured in the USA and was stamped 230V 50Hz on the name plate. After the third failure, we came to the conclusion that rather than wind for 50Hz, then manufacturer had just change the name plate. We then altered the stator turns to accommodate the change in frequency and the motor operated faultlessly for 15 years until the machine was retired.
Mark Empson