The cuff muscles work as a team. The activity of one has to be supported by the others. Let's add an important point here. Muscles can destabilise a joint - any joint - not just the shoulder. When they contract to create movment, the force they generate can cause the joint to misalign or even dislocate in extreme circumstances. To prevent this, the contraction of other muscles is required to resist this negative force and maintain balance around the joint. All of this is carefully orchestrated via the nervous system relaying information back and forth to the brain.
So, for example, during arm ABduction, supraspinatus will be more active as it creates that movement. However, subscapularis, infraspinatus and teres minor are still contracting to maintain joint stability. Without this contraction, supraspinatus would cause the humerus to slip up towards the acromion process. This would compress the supraspinatus tendon between the humerus and the acromion process. A soft tissue compressed between hard bones leads to injury, inflammation and potentially
rotator cuff tears.
There are lots of reasons why the rotator cuff become imbalanced in their activity and become injured. These include falls,
scapula winging, and poor
control of movement, such as incorrectly performed
chaturanga.