To wall mount a detachable shelf rack for computer supplies on a concrete basement wall, using a French cleat system with Tapcon concrete screws is recommended for secure attachment. Molly bolts can also be used for lighter loads, but they may not be reliable for heavier items. It's suggested to anchor wood furring strips to the masonry wall for better load distribution, making it easier to mount peripherals. Proper drilling with a masonry bit is essential for installation, as standard bits will not suffice. Overall, careful consideration of weight limits and mounting techniques is crucial for a functional workstation setup.