Problem 1. Consider an 80-kg man assuming a position as shown in the figure below. The weight of the torso (W) is 60% of the total weight of the man while the weight of the head and arms is 50% of the weight of the torso. The spine makes an angle of 55° with respect to the vertical axis while the erector spinalis muscle makes an angle of 12° with respect to the spine. W, acts at point B while W, acts at point E which is midway between points B and A. The force exerted by the erector spinalis muscle acts at a point D such that segment AD is about 75% the length of the segment AB.

International Edition---engineering Mechanics: Statics, 4th Edition
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Author:Andrew Pytel And Jaan Kiusalaas
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Chapter4: Coplanar Equilibrium Analysis
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Problem 1. Consider an 80-kg man assuming a position as shown in the figure below. The weight of the torso (W) is 60% of the total
weight of the man while the weight of the head and arms is 50% of the weight of the torso. The spine makes an angle of 55° with
respect to the vertical axis while the erector spinalis muscle mnakes an angle of 12° with respect to the spine. W, acts at point B while W,
acts at point Ewhich is midway between points B and A. The force exerted by the erector spinalis muscle acts at a point D such that
segment AD is about 75% the length of the segment AB.
Erector spinalis muscle
Pivot point A
W
What is the magnitude of the force exerted by the erector spinalis muscle (in newtons, N)? Round off your answer up to 3 decimal
places.
What is the magnitude of the force exerted on the fifth lumbar vertebra (in newtons, N)? Round off your answer up to 3 decimal
places.
• What is the angle (in degrees) that the force exerted on the fifth lumbar vertebra makes with the horizontal?
Note:
Use absolute values (i.e. no negatively-signed answers).
Transcribed Image Text:Problem 1. Consider an 80-kg man assuming a position as shown in the figure below. The weight of the torso (W) is 60% of the total weight of the man while the weight of the head and arms is 50% of the weight of the torso. The spine makes an angle of 55° with respect to the vertical axis while the erector spinalis muscle mnakes an angle of 12° with respect to the spine. W, acts at point B while W, acts at point Ewhich is midway between points B and A. The force exerted by the erector spinalis muscle acts at a point D such that segment AD is about 75% the length of the segment AB. Erector spinalis muscle Pivot point A W What is the magnitude of the force exerted by the erector spinalis muscle (in newtons, N)? Round off your answer up to 3 decimal places. What is the magnitude of the force exerted on the fifth lumbar vertebra (in newtons, N)? Round off your answer up to 3 decimal places. • What is the angle (in degrees) that the force exerted on the fifth lumbar vertebra makes with the horizontal? Note: Use absolute values (i.e. no negatively-signed answers).
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