World No.1 Rory McIlroy missed the cut at the Players Championship after shooting a four-over-par 76 in Friday's second round which ended with a trio of Americans sharing the lead.
Zach Johnson, Kevin Na and Matt Kuchar were knotted at eight-under 136, a shot clear of compatriot Harris English.
But with five players sitting a further stroke adrift and the course likely to get tougher over the weekend, the event widely known as golf's unofficial fifth major remains wide open.
McIlroy, who had not missed a cut since last year's Wells Fargo Championship, carded five bogeys and one birdie on Friday for a two-day total of 148.
Woods had to fight to avoid missing successive cuts for the first time in his professional career after shooting a 74 in his opening round.