I don't know much about sewing machines but this does not seem like a complicated problem.Here are the pictures of the problem:
The symptom is when you maually engage the bobbin winder assembly on the top of the machine and press the button to activate it, you can hear the motor turning inside but the winder does not turn. The first two photos show the faulty drive assembly removed from the machine. The last photo shows the assembly loosely installed in the machine. There is some mysterious black slime (could it just be lubricant?) which I thought must have been some kind of belt or idler that started disintegrating from age but the machine is only about 5 years old. The main belts are in very good condition so it doesn't make sense to me how this could have happened. If you poke the slime with a small screwdriver it doesn't make a really big mess on everything it touches like an old rubber belt does. You can see in the third picture that the area surrounding the part is fairly clean. I think that small black mark on the large gear to the left happened when I removed the part. By the way, the part in question is mounted on a plate that can be manually shifted up against the main gear assembly to get it to turn. I searched around for a parts diagram for this model but no luck. I know some of you that frequent this board have delved into sewing machine repairs and was wondering what this part is and how it interfaces with the drive mechanism to make the winder rotate.
Thanks for your reply.