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Calculate rotation about and translation along helical axis

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Reference no: EM131046067

A lumbar spine specimen from L1 to L3 is tested under a flexion moment with L3 fixed and L1 and L2 free to move. Three IREDs are attached to each vertebra and the 3-D location of each marker is known in two positions. Using the values given below calculate rotation about and translation along a helical axis for L1 and L2. All coordinates are given in the fixed reference frame.

Position 1

      

Position 2

    
                 

reference LEDs

      

reference LEDs

    
 

x

y

z

    

x

y

z

1

242.2

183.4

56

  

1

242.3

183.7

55.7

2

39.3

186.5

58

  

2

39.3

186.8

58.1

3

138.4

82

57.6

  

3

138.5

82.2

57.6
                 

L1 LEDs

        

L1 LEDs

      
 

x

y

z

    

x

y

z

1

261

212.7

111.5

  

1

260.3

222.4

127.4

2

43.1

196.3

116.4

  

2

42.2

205.8

129.5

3

130.5

96.7

104

  

3

129.6

106.6

136.8
                 

L2 LEDs

        

L2 LEDs

      
 

x

y

z

    

x

y

z

1

242.2

214.5

164.8

  

1

240.1

240.5

184.5

2

31.6

204.1

144.7

  

2

30.1

224.6

163.1

3

149.7

119.1

152.8

  

3

148

145.2

197.4

 

Reference no: EM131046067

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Calculate rotation about and translation along helical axis : A lumbar spine specimen from L1 to L3 is tested under a flexion moment with L3 fixed and L1 and L2 free to move. Using the values given below calculate rotation about and translation along a helical axis for L1 and L2
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