Well, just took trip to stop by the dealer, and to my surprise they are not open today. I'll so spend some time with my tractor this afternoon looking over the linkage. if northing's obvious and nobody has any suggestions it will have to wait until Monday. Don't really need to use it before than anyway. There is nothing in the owners manual to address this either.
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A couple of things come to mind as the mid point PTO is instantaneous in start up;
Transmission oil filter-
Oil level in the transmission-
after you break the suction from the dipstick-
wait a few minutes to check it after lifting the
dip stick to obtain the true oil level.
Grass build up on the top of the mower deck-
possibly affecting the throw of the tension pulley
and as the belt speeds up it allows the spring to
pull and grip more.
When was the last time the tension pulley was greased?
Drive belt/driven belt tension-
It could very well be the belt(s) are shot and it
takes a bit longer to grip the pulleys at start up
as they are stretched and the tension pulley moves more
until it finds its equilibrium.
If the mower bangs a lot while mowing that would be the cross belt tensioner is bouncing while under load and you need a new belt or two new belts.
The Gates green heavy duty belts are the best belts for the shock load and are worth every penny.
leonz