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Statically Equivalent Loads. A highly idealized biomechanical model of the human body is shown below, sectioned in a horizontal plane through the lower back showing the major muscle forces in gray, with the back of the body in the positive y-direction. The same four muscles act on the left and right sides of the trunk and there is symmetry with respect to the y – z plane. On each side, the tensile (pulling) forces acting in each of the four different muscles are: FR = 150 N, Fo = 150 N, F1 = 230 N, and Fg = 320 N, and all are acting in the z-direction.

Statically Equivalent Loads. A highly idealized biomechanical model of the human body is shown below, sectioned in a horizontal plane through the lower back showing the major muscle forces in gray, with the back of the body in the positive y-direction. The same four muscles act on the left and right sides of the trunk and there is symmetry with respect to the y – z plane. On each side, the tensile (pulling) forces acting in each of the four different muscles are: FR = 150 N, Fo = 150 N, F1 = 230 N, and Fg = 320 N, and all are acting in the z-direction.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Statically Equivalent Loads. A highly idealized biomechanical model of the human body is shown below, sectioned in a horizontal plane through the lower back showing the major muscle forces in gray, with the back of the body in the positive y-direction. The same four muscles act on the left and right sides of the trunk and there is symmetry with respect to the y – z plane. On each side, the tensile (pulling) forces acting in each of the four different muscles are: FR = 150 N, Fo = 150 N, F1 = 230 N, and Fr = 320 N, and all are acting in the z-direction. Assume that this system of muscle forces is statically equivalent to a single resultant force vector Fres and a single resultant moment vector Mres, referenced to point 0. a- For this cartesian coordinate system, calculate the three components (x, y, and z) of Mres b- Which components (x, y, or z) of the resultant muscle moment vector would enable you to bend in the forward-backward direction, bend to one side, and twist, respectively? Would the muscle forces shown here cause you to bend forward or backward? c- If you wanted to statistically equivalent loads instead only by a single force vector, (call it Fres"), what would be the represent the FR Fo location of that force in this cross- FR FE F section? FE d- Muscles can only pull and can only exert forces along their main orientation (like a rope). If the body wanted to devise a way to twist such that the magnitude of the muscle forces would be minimized, how do FL 75 mm 15 mm 30 mm 40 mm 145 mm 50 mm you think it could accomplish that?
Transcribed Image Text:Statically Equivalent Loads. A highly idealized biomechanical model of the human body is shown below, sectioned in a horizontal plane through the lower back showing the major muscle forces in gray, with the back of the body in the positive y-direction. The same four muscles act on the left and right sides of the trunk and there is symmetry with respect to the y – z plane. On each side, the tensile (pulling) forces acting in each of the four different muscles are: FR = 150 N, Fo = 150 N, F1 = 230 N, and Fr = 320 N, and all are acting in the z-direction. Assume that this system of muscle forces is statically equivalent to a single resultant force vector Fres and a single resultant moment vector Mres, referenced to point 0. a- For this cartesian coordinate system, calculate the three components (x, y, and z) of Mres b- Which components (x, y, or z) of the resultant muscle moment vector would enable you to bend in the forward-backward direction, bend to one side, and twist, respectively? Would the muscle forces shown here cause you to bend forward or backward? c- If you wanted to statistically equivalent loads instead only by a single force vector, (call it Fres"), what would be the represent the FR Fo location of that force in this cross- FR FE F section? FE d- Muscles can only pull and can only exert forces along their main orientation (like a rope). If the body wanted to devise a way to twist such that the magnitude of the muscle forces would be minimized, how do FL 75 mm 15 mm 30 mm 40 mm 145 mm 50 mm you think it could accomplish that?
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