A person bends forward to lift a load with his back. To see that this is not a good way to lift, we will find the large induced force  R = Rx(i) + Ry(j) occurring in the spine by lifting a 200-N object. The spine and the upper body are represented as a uniform horizontal rod of weight 350 N, pivoted at the base of the spine. The erector spinalis muscle, attached at a point 2/3 of the way up the spine, maintains the position of the back with tension T. The angle between the spine and this muscle theta = 12 degrees.   Find the magnitude of force R at the base of the spine.

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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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A person bends forward to lift a load with his back.

To see that this is not a good way to lift, we will find the large induced force  R = Rx(i) + Ry(j) occurring in the spine by lifting a 200-N object.

  • The spine and the upper body are represented as a uniform horizontal rod of weight 350 N, pivoted at the base of the spine.
  • The erector spinalis muscle, attached at a point 2/3 of the way up the spine, maintains the position of the back with tension T.
  • The angle between the spine and this muscle theta = 12 degrees.

 

Find the magnitude of force R at the base of the spine.

Back muscle
R,
7 12.0°
Pivot
200 N
350 N
a
Transcribed Image Text:Back muscle R, 7 12.0° Pivot 200 N 350 N a
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