supported by the lifting frame 36 transversely between the two legs 12 and 14 also the wheels 24 or 26 may be steerable to allow a greater degree of freedom of movement for the hoisting apparatus 10 the cable reeving system with the improved anti sway braking of the present invention is most clearly shown in fig2 this system includes the cable reeving 34 which is a continuous cable having both its ends secured to the power drum 38 the cable extends from the drum 38 in opposite directions to the two beam sheaves 40 and 42 from the beam sheaves 40 and 42 the cable extends to the spaced apart trolley sheaves 44 and 46 and is reeved downward around the lifting frame sheaves 48 and 50 and forms the crossover portion 52 between the trolley sheaves 44 and 46 as can be seen in fig2 the trolley sheaves 44 and 46 are spaced apart a greater distance than are the lifting frame sheaves 48 and 50 so that the cable reeving diverges upwardly this divergence allows the reeving to apply a correcting force whenever the lifting frame 36 and its load commence swaying in order to provide a greater retarding force to such swaying the crossover portion 52 of this cable is engaged by a sway retarding means including the braking sheaves 54 56 and.