Greaseweazle is a USB device that lets you read and write floppies in various formats from/to disk images on your modern PC.

From the Greaseweazle wiki:

Greaseweazle is a USB device and host tools allowing versatile floppy drive control. By extracting the raw flux transitions from a drive, any disk format can be captured and analysed: PC, Amiga, Amstrad, PDP-11, musical instruments, industrial equipment, and more. Greaseweazle also supports writing to floppy disks, from a range of image file formats including those commonly used for online preservation (ADF, IPF, DSK, IMG, HFE, ...).

The Greaseweazle wiki can be found here:
https://github.com/keirf/greaseweazle/wiki

Specifically to set up the 4.1 model:
https://github.com/keirf/Greaseweazle/wiki/V4.1-Setup

Please note: This listing is for the Greaseweazle 4.1 device only. You will additionally need the following items. Cables are available as add-ons or separate listings.

Floppy drive
34-pin floppy data cable (e.g. "twisted" cable for use with PC floppy drive)
Floppy power cable (the device can power most 3.5" drives), or a power supply unit for 5.25" drives
USB Type-C cable (to connect to your modern computer)