The shank of the mandrel must match the size of the power tool collet or drill chuck, and the pilot diameter must be compatible with the size of the cartridge roll.
3M 45117, Cartridge Roll Mandrel, 3/16 in x 1 in x 1/4 in, 7000148243
$4.23
Factory Stock, 7-10 Day Leadtime
3M Cartridge Roll Mandrel is a tool attachment that holds an abrasive cartridge roll (sold separately). Together, the mandrel and cartridge roll enable the user to grind or finish hard-to-reach areas of a workpiece, such as angles and curves. The mandrel attaches to a rotary tool such as a die grinder or drill, and comes in different sizes to fit a variety of cartridge roll sizes.

Dynabrade 64350 26" W x 36" L (660 mm W x 914 mm L) Metal Capture Downdraft Station, 230 V (AC)
3M 26119, PPS Series 2.0 Adapter, Type S27, 16 mm Male, 1.5 mm Thread, 7100135925
Insize 7230, SCRIBER, 6928640320064
Standard Abrasives 713159, Aluminum Oxide Handy Roll, P120 J-weight, 1-1/2 in x 50 yd, 7010290409
3M 10455, Cloth Sheet 481W, 220, 9 in x 11 in, 7010294811
3M 19768, Utility Cloth Sheet 314D, 9 in x 11 in P180 J-weight, 7000000356
3M 20967, Portable Utility Cloth Roll 314D, P240 J-weight, 1 in x 20 yd, 7010290604
3M 19764, Utility Cloth Sheet 314D, 9 in x 11 in P320 J-weight, 7000000352
3M 05027, Utility Cloth Roll 211K, 150 J-weight, 1-1/2 in x 50 yd, Full-flex, 7100031693
3M 76783, Cubitron II Hookit Cloth Disc 784F, 120+ XF-weight, 5 in x NH, Die 500X, 7100222757 
