my best freinds 04 Z71 did that and he took it back to the dealer because it was supposed to be limitedslip. they replaced the govener assembly and now its fixed.
Daily driver: '97 Z-71 reg. cab, electric fans, dual bats, K&N cold air, custom built muffler, and your standard blue light special equip...
My Baby: '67 GMC swb small back glass. 388ci stroker, old school bowtie heads est. 450hp, scat steele crank, eagle H beam rods, and Keith Black pistons, but only pushing 10:1 compression, fed by an Edelbrock 750 carb. THM350 trans. shiftkit w/manual valve body, 2800 stall going out back to some highway 3.42 gears, tubbed.