This is FCP 10.1.4 (released in 2014) running on Mavericks 10.9.5. I'm just a user and I don't work for Apple, but I think those are no longer supported.
However I examined your spindump file. The problem was apparently in thread Thread_998620, at stack frame:
647 -[FFSegmentStoreFile newFrameData:isSecondField:pixelTransformIndex:sampleObj:]
After that, it issued a 'pread' which is a Unix system call for reading from a file (likely a media file or cache file). It looks like 'pread' got stuck trying to read that file. This might be caused by a number of issues, including a slow or unresponsive disk, a large or complex file that's difficult to process, or a bug in FCP code.
The low-level objc_msgSend function might be used to call the - [NSOperation isCancelled] method, which might be checking whether an operation has been canceled. It could be part of the error handling mechanism to check the operation status when a pread operation hangs.
The "isSecondField" in the stack trace might indicate that interlaced media was being processed, but that's just a guess.
That's all I can tell from the spindump. You could use the MacOS Console app to examine your logs for events at that time. Maybe there is some other useful symptom that was logged.
The problem is FCP 10.1.4 is so old that it's quite possible the source code for this situation has already been changed.