In my 1986 Ford F-150 (carbureted) when I go left around a corner, the engine sputters. Feels very similar to running out of gas, but it picks back up once I stop turning. Only happens in a sharp corner, and only left, not right.

I've experienced this before in a 1995 VW Golf. In that case the engine only cut out when turning right. I had it serviced at a shop back then, and as I recall it was something in or near the gas tank along the fuel line that had cracked and was letting air into the line.

Is this a common problem? Any highly suspect parts I should be checking?