Start by checking the terminations on the "bad" cable. You could have a stray braid wire shorting it out, or a center conductor that isn't long enough. You could have 1 or more splitters between your antenna and the TV that are dropping your signal. You could have high loss coax. You could have that TV set for cable channels instead of off the air. Lots of possibilities. An amp may allow you to push a signal through those problems or it might not change anything. It depends on the root cause.