We introduce a general framework to study the processivity of molecular mot
ors moving along a polar lament and discuss the average time spent attached
to the lament as a function of a tangentially applied load. Our study of s
pecific models suggests that the attachment time of a motor decreases with
increasing ATP concentration and that double-headed motors such as kinesins
lose their processivity under forcing conditions while processive single-h
eaded motors are less sensitive to tangential forcing.