Your synchro is most likely going bad, the same one works for 1st and 2nd so 2nd should be giving you trouble too.
The 2002 Jeep Wrangler has 8 valves.
A 2002 Wrangler has a non adjustable hydraulic clutch.
The 2002 Jeep Wrangler has an inline 4 engine.
The 2002 Jeep Wrangler has a 5-speed manual.
The 2002 Jeep Wrangler is a gas-powered vehicle.
The 2002 Jeep Wrangler has overhead valves (OHV).
The height of the 2002 Jeep Wrangler is 5 ft. 10.9 in. (70.9 in.).
The 2002 Jeep Wrangler is 12 ft. 11.4 in. (155.4 in.) long.
The 2002 Jeep Wrangler's turning circle is 32.8 ft..
The curb weight of the 2002 Jeep Wrangler is 3110 lbs..
The 2002 Jeep Wrangler runs on regular unleaded.
The 2002 Jeep Wrangler has a drag coefficient of .58 Cd.