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This work studies the dynamical behavior of a belt-tensioner pulley, constructed with a nonlinear spring and submitted to dry-friction on the contact of the pin with an articulated arm. Friction models are addressed, and the Duffing's equation is used to model the spring's nonlinear behavior. A mathematical model of the belt-tensioner is presented, and the influences of friction and pre-load moment are numerically investigated. The Stick-Slip behavior of the system is also studied. It is seem that the varying normal load, the friction asymmetry and the pre-load moment can change the Stick-Slip behavior. Finally, a method is presented to map the dynamical behavior of the belt-tensioner