Need Help Cutting Lines With Circles for Clock Face
I am trying to create a clock face in Illustrator (CC 2022 on a PC) that has tick marks indicating minutes (thick lines) and seconds (thin lines). I'm struggling to cut the 30 individual lines into short tick marks using circles. Does anyone have any suggestions?
To explain: each "tick mark" is a long straight line that goes through the center of the clock from one side to the other ( a total of 30 lines; for keeping organized I currently have the thin lines in one group and the thick lines in another group).

The final design should look like the one below where the tick marks have been cut into short little lines going around the outer edge of the inner most circle. I created the mock-up below by using a white fill on the inner circle (essentially covering over the lines).

Because I will be placing a photo in the background, I can't have the inner circle be filled with white which is why I want to cut the lines into shorter tick marks.
I also need the circles to be kept separate from the lines, so dividing everything using the pathfinder tool won't work (that just created odd shapes that had the tick marks connected to portions of the circles).
