Find the tension T in the deltoid muscle. Using the conditions for static equilibrium, find the magnitude of the vertical component of the force Fy exerted by the scapula on the humerus (where the humerus attaches to the rest of the body). Now find the magnitude of the horizontal component of the force Fx exerted by the scapula on the humerus. You are able to hold out your arm in an outstretched horizontal position because of theaction of the deltoid muscle. Assume the humerus bone has a mass M₁ = 3.6 kg, lengthL = 0.66 m and its center of mass is a distance L₁ = 0.33 m from the scapula. (Forthis problem ignore the rest of the arm.) The deltoid muscle attaches to the humerus adistance L₂ = 0.15 m from the scapula. The deltoid muscle makes an angle of 0 = 17°with the horizontal, as shown. (Figure 1) (Figure 2)Use g = 9.8 m/s² throughout theproblem. Humerus boneDeltoidmuscle4₂21004₁Scapula

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Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter14: Static Equilibrium, Elasticity, And Fracture

Section: Chapter Questions

Problem 31PQ: A wooden door 2.1 m high and 0.90 m wide is hung by two hinges 1.8 m apart. The lower hinge is 15 cm...

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Find the tension T in the deltoid muscle.
Using the conditions for static equilibrium, find the magnitude of the vertical component of the force F_yexerted by the scapula on the humerus (where the humerus attaches to the rest of the body).
Now find the magnitude of the horizontal component of the force F_xexerted by the scapula on the humerus.

You are able to hold out your arm in an outstretched horizontal position because of the
action of the deltoid muscle. Assume the humerus bone has a mass M₁ = 3.6 kg, length
L = 0.66 m and its center of mass is a distance L₁ = 0.33 m from the scapula. (For
this problem ignore the rest of the arm.) The deltoid muscle attaches to the humerus a
distance L₂ = 0.15 m from the scapula. The deltoid muscle makes an angle of 0 = 17°
with the horizontal, as shown. (Figure 1) (Figure 2)Use g = 9.8 m/s² throughout the
problem.

Humerus bone
Deltoid
muscle
4₂2
100
4₁
Scapula

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