Posted by sarah on Sunday, November 11, 2012 at 4:31am.
The answer depends upon the arm's length and another dimension separating the bicep from the rotator cuff. These dimensions should have been on the "figure below" that you did not provide.
The weight of the arm itself should add to the stress force required to support the milk carton.
A figure with the missing dimensions that you need, and the method of solution, can be found on page 142 of this web site:
http://physics.ucsd.edu/students/courses/summer2009/session1/managed/session1/physics1a/documents/ch_8_solutions.pdf
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