as there are several ramps versions available just a question:
on the left side of reset button(ramps board) there is a three pin header.
is there a jumper located between VCC and 5V (the upper two pins) ?
if not , there is no power supply to servo so it cannot move.
!!!! if you mount a jumper the 5V is powered by arduinos 5V regulator which only can drive low current!!!!
better way is to supply the middle pin by external 5V DC , dont forget to connect GND of external 5V Source to
Ramps GND
(that´s situation i have at my chinese Ramps board)