You don't say which type of aircraft you are asking about, but I seem to recall you have asked questions about 737's before, so assuming your question relates to the 737 series here goes....
An engine failure after a wet V1 will require pretty much full rudder input. (This will be dependant on the model you are flying, a -700 with 27K engines certainly will, whereas a -900 with 24K engines is slightly more benign!). Once airborne the pressure will be slightly less, because your greater speed now gives you greater rudder authority.
Essentially you are correcting the yaw and keeping the aeroplane tracking straight ahead.
WorldDC10 has it right, don't overcomplicate it, just put a healthy amount of rudder in and keep it straight.
Hope that helps.