Apparatus for transmitting torque from the engine-driven crankshaft to the input shaft of the change-speed transmission in a motor vehicle has two coaxial flywheels which are rotatable relative to each other against the opposition of three series-connected dampers including a pair of annular slip clutches and an elastic damper between the slip clutches. One of the slip clutches opposes all angular movements of the flywheels relative to each other and its output element transmits torque from the flywheel which is driven by the crankshaft to the input element of the elastic damper. The output element of the elastic damper is the input element of the other slip clutch which is mounted on the other flywheel and opposes rotational movements of the flywheels relative to each other within a preselected angle.