allow the abrasive surface to flex longitudinally relative to the shaft 20 and to rotationally absorb forces exerted by the tool on the abrasive by the user these forces exerted by the tool being sharpened are not significantly transmitted through the abrasive wheel assemblies 30 to the drive shaft 20 to cause stall of the drive motor and any resulting significant reduction of the speed of the ring 34 to insure optimum sharpening results the edge of a as a tool being sharpened is positioned in a selective one of slots in contact with the abrasive surfaces formed on abrasive wheel assemblies 30 in angled relationship as defined by sloped guide surfaces 10 a 10 b referring now to fig2 3 and 5 there is illustrated a second pair of abrasive cutting assemblies 50 using a pair of flat coated abrasive disks 52 which may be formed for example by a thin metal and the like and have a coating of an abrasive on their faces and the like for sharpening at the edge of a tool the flexible flat disk 52 are each affixed on a drive shaft 20 in separated position in attachment to a flexible hub 54 and are also rotated by drive motor 22 the flat coated abrasive disks 52 are aligned with slots 12 to allow the user to guide tools having edges to be sharpened in the correct orientation to abrade the cutting edge against the abrasive flexible flat disks 52 the abrasive disk assemblies 50 function similar to the previously.