"My Technics sl10 has a issue, the tracking arm does not move along with the cartridge."
Same problem with my SL-10. All the suggestions above are good, but mine had a different problem entirely, and caused the exact same fault — "I can only play for a few minutes until it starts to skip. However I can move the arm by pressing stop then pressing start (has to be this way, just pressing start won't move the arm). But at a new position, the same issue. The arm does not move while playing the disc."
The leads that exit from the rear of the tonearm (they carry the signal from the cartridge) are 'dressed' loosely, almost a loop. They have to be, because as the arm moves across, the wires have to 'give' and move with it.
The wires go (eventually) to the outputs: direct to the MM, or to the MC head-amp. On the way, they passed through a square hole in a piece of black plastic.
With mine, the 'loop' in the wires touched the edge of the hole, and couldn't pass through it. That stopped the arm — it just skipped over and over on the same groove.
I only saw this by operating the TT while apart, and upside down; it wasn't easy.
Re-dressing (bending) the wires so they didn't 'foul', and putting a dab of lube on them, and the edges of the hole, fixed it.
So if you already have it apart, and before you spend the time/money on other fixes, just trace the small wires from the tonearm, and see if you see what I saw. You won't have to operate it upside down as I did — if you see the wires anywhere near the edges of the hole, that's your problem.
I couldn't find a picture in the service manual that shows it. For one thing the pics are b&w and the wires are colored, easily visible to the naked eye.
Secondly, there are a couple of drawings of the arm — but they don't show ANY wires! Obviously they're there — the cartridge doesn't communicate by telepathy or Bluetooth.
Hope it helps, it's a great TT worth keeping forever.