Gentlemen, I think my lack of knowledge has misled you. The old mouse that came with my HP a532x desktop computer has a rubber ball that rolls on my mouse pad. That is not what disintegrated.! I used a small phillips screwdriver to take out the screw that held the two halves of the mouse together. Once inside I saw two shafts with a gear wheel at the end of each shaft. Around each shaft was a small band of rubber that touched the rubber ball. It was these two rubber bands that disintegrated.
At any rate I got on an MTA bus today that was being driven by a young musician named Nick who use to clerk in a health food store here on Staten Island. During the course of our catching up with one another I told him about my mouse problem. Nick told me that he had recently purchased a wireless mouse from the Best Buy at the Staten Island Mall.
I picked up my pictures from the drug store and went to the Best Buy and sure enough they had racks and racks of mice. I bought a Dynex optical mouse that had a usb cord and the box said that it required " windows ". which made me nervous.
When I got home I plugged it into an open usb port and it works great. There is a red light at the bottom instead of a rubber wheel and there are buttons on either side to go forward on back for website pages according to the instructions. I feel more out of date than I did yesterday. With New York taxes I paid $20.48 for the optical mouse.
Again my gracious thanks, gentlemen!!