The supraspinatus is located from the supraspinus fossa and attaches to the greater turbercle of the humerus innerveated by the suprascapular nerve.
Biomechanically, activated during the first 0-15 degrees of abduction and assists the medial deltoid with abduction(side raising).
The three most effective scientific and biomechanical ways of strengthening the muscle are:
1-Empty can exercises where the client internally rotates both arms and from the ground up stopping at 90 degrees in the frontal plane.
2-Prone lying over a bench or physioball with the thumb up
3-Scaption which is the opposite of empty can where both thumbs are up and arms are slightly externally rotated and are raises from the ground stopping at 90 degrees in the 45 degree frontal plane.
The cable cross over on your side targets primarily the medial deltoid the supraspinatus.
Targeting these smaller specific muscles can assist your clients greatly because based on the research it is the weakest of the rotator cuff and synergistic training of scapular stabiliers should also be done to have “balance” in the shoulder complex.
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The supraspinatus is part of the rotator cuff muscle in the back of the upper arm. Many people injure this muscle because they overuse the front deltoids. The shoulder is a muscle that goes inane directions and is made up of several muscles. In essence there is no joint there its a false joint. The best thing to do is make sure you work out the whole shoulder. I would recommend shrugs, military press, lateral raises and also side raises and rear raises. Working the whole area is better then isolating these muscles to avoid stronger front or rear deltoids that can cause serious shoulder problems over time. Also the cable cross over on your side are great to hit those often neglected muscles.