The arm in the figure below weighs 42.0 N. The force of gravity acting on the ar

Question

The arm in the figure below weighs 42.0 N. The force of gravity acting on the arm acts through point A. Determine the magnitudes of the tension force t in the deltoid muscle and the force s of the shoulder on the humerus (upper-arm bone) to hold the arm in the position shown.

The arm in the figure below weighs 42.0 N. The force of gravity acting on the arm acts through point A. Determine the magnitudes of the tension force t in the deltoid muscle and the force s of the shoulder on the humerus (upper-arm bone) to hold the arm in the position shown.

Explanation / Answer

balancing moment about point O .

Ftsin12 x 0.080 = 42 x 0.290

Ft   = 732.28 N

FssinA = ftsin12 - Fg = 152.25 - 42 = 110.25

FscosA =Ftcos12 = 716.28

FssinA / FscosA =tanA = 110.25 / 716.28 =

A = 8.75 degrees

Fs = 110.25 / sin8.75 = 724.71 N

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