A bicycle having a drive-shaft connecting a crank to an internal hub gearbox on a rear wheel. The bicycle having a suspension system and a cantilevered rear stay that connects the rear wheel to the frame and maintains the hub in a relative radial distance from the crank to maintain contact of the drive-shaft with the crank and gearbox. The suspension system having a linearly moveable damping device disposed within the frame. A swing arm pivotally extends from the rear stay to the damping device. The pivotal connection of the rear stay to the frame, the linear connection of the damping device to the frame, and the pivotal connection of the swing-arm to both the rear stay and damping device provide a four-bar sliding mechanism to provide suspension for the rear wheel on the bicycle.