There was just a post on the same problem. In that case, the nut holding the
pump shaft to the
engine shaft under the
pump had come loose.
If the auxiliary shaft coming off the engine were bad, you'd have serious and unlikely problems - a failure inside the engine. So, there's the connection between that shaft aand the pump shaft, as above. Then there's the connection between the pump shaft and the impeller, which you can test by removing the impeller, bumping the engine, and seeing if the shaft turns. Then there is the impeller itself. The
bronze core may have spun relative to the "rubber" of the impeller. The problem is somewhere along that sequence.
I'll bet that you find it very quickly if you start at one end and test toward the other.