A low pressure cut off switch shuts the pump off any time the pressure gets about 10 PSI lower than the pressure switch start setting. A leaking check valve cause cycling when no water is being used, but does not cause low pressure. Pumping the well dry, using more than the pump can supply, power outages, and having too much air charge in the tank are what causes a low pressure switch to trip. Make sure the air charge in the tank is 10 PSI less than the pressure switch start pressure.