The study looked at how cutting the roof and releasing pressure affects rock behavior in coal mines with different roof structures. By analyzing the composite roof's structure and simulating roof cutting, researchers found that the weak layer in the roof plays a crucial role in determining support needs. When the weak layer is in the middle of the cutting range, support strength requirements are highest; when it's at the top, support needs are lowest. The height of the weak layer affects stress on the coal wall, with a peak and valley pattern. These findings were confirmed by data from a coal mine, showing the importance of understanding roof composition for effective support design.