A force transmission system for a vehicle comprises an input shaft (18) to which is transmitted the driving force from a machine, a coupling drive shaft (23) which extends across the vehicle transversely and is driven by the input shaft plus left and right output shafts (29) which are located coaxially on the left and right ends of the coupling shaft. There are left and right electromagnetic clutches located between the coupling shaft and the respective output shafts. The clutches each comprise a coupling body which can be operated to transmit a driving force from the coupling shaft to one of the neighbouring output shafts and which can be operated by an assigned solenoid (50) of a pair of left and right annular solenoids. The left and right solenoids are each located laterally inside one coupling body "assigned by the left and the right". Left and right bearings of opposite ends of the coupling shaft are located radially inside the left and right solenoids.
