The arm weighs 44.0 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. t=N s=N

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The arm weighs 44.0 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.  t=N  s=N

unett · Accepted Answer

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Jeffrey Jordon · Accepted Answer

Weight of the arm&amp;nbsp;Fg=44.0&amp;nbsp;N∑τ=0(Fy)(0.08&amp;nbsp;m)−(Fg)(0.290&amp;nbsp;m)=0(Ftsin⁡12∘)(0.08&amp;nbsp;m)−(Fg)(0.290&amp;nbsp;m)=0Ft=(44.0&amp;nbsp;N)(0.290&amp;nbsp;m)(0.08)(sin⁡12∘)=768.6&amp;nbsp;N≈769&amp;nbsp;NFt=t=769&amp;nbsp;N∑Fx=0Fx′−Ftcos⁡12∘=0Fx′=Ftcos⁡12∘Fx′=(769&amp;nbsp;N)cos⁡12∘=752.19&amp;nbsp;N∑Fy=0Ftsin⁡12∘−Fy′−44.0&amp;nbsp;N=0Fy=−44.0&amp;nbsp;N+Ftsin⁡12∘≈116&amp;nbsp;NFs=s=Fx′2+Fy′2=(759.19&amp;nbsp;N)2+(116&amp;nbsp;N)2=761&amp;nbsp;N

The arm weighs 44.0 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. t=N s=N

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