1. Worn or damaged shift forks: The shift forks are responsible for engaging the gears in the transmission. If they are worn or damaged, they may not be able to hold the gear in place, causing it to pop out.
2. Bent or damaged shift selector shaft: The shift selector shaft is the part that connects the shift lever to the transmission. If it is bent or damaged, it may not be able to properly engage the gears, causing them to pop out.
3. Weak or broken shift detent springs: The shift detent springs are responsible for holding the gears in place. If they are weak or broken, the gears may not be able to stay engaged, causing them to pop out.
4. Worn or damaged synchronizer rings: The synchronizer rings are responsible for synchronizing the speeds of the gears before they are engaged. If they are worn or damaged, they may not be able to properly synchronize the gears, causing them to pop out.
To diagnose the problem, you will need to inspect the transmission. This can be done by removing the transmission from the car and disassembling it. Once you have disassembled the transmission, you can inspect the shift forks, shift selector shaft, shift detent springs, and synchronizer rings for wear or damage.
Once you have identified the problem, you can replace the worn or damaged parts. This may require specialized tools and knowledge, so it is recommended that you have a qualified mechanic perform the repair.