Electric Fan not Working
That is a shaded pole motor there is no fixing them if they spin easily, usually the bearings dry out and the motor won't spin a few drops of light oil in each end may fix it but if not, it's time for a new one. These motors rarely burn up it is usually the bearings being dry that causes them to fail. So try and and add oil to the bearings by putting a few drops on the shaft and spinning to help the oil work into it. Do this on both sides and the motor may come back to life.