I bought a WD my book six months back but when i connected to the macbook pro, it blinks, that’s it. No sound, no whirrrr sound. This is my second My Book. It is a disaster HD, and no service/recover in India which is a biggest market for them. I would not recommend this to anyone. Please think twice before you buy.
Try a different USB cable and check if the drive comes on disk utility
if it does show, you can run first aid
as a last resort, you can try a firmware update