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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 his 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.

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 his 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.

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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 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 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.
Transcribed Image Text: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
Transcribed Image Text:Humerus bone Deltoid muscle 4₂2 100 4₁ Scapula
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