A person bends forward to hold a dumbbell of 10.0-kg. The spine and upper body are pivoted at the base of the spine, and represented as a uniform horizontal rod of 25.0-kg with center of mass is 0.21m away from the pivot. The horizontal distance from the dumbbell to the pivot is 0.42m. The spinalis muscle, attached at a point 0.28 m away from the pivot, exerts a tension force 15° above the horizontal spine and maintains the position of the back. a) Determine the magnitude of torque exerted by the weight of the upper body; b) Determine the magnitude of the torque exerted by the dumbbell; c) Determine the magnitude of the torque exerted by the spinalis muscle; d) Determine the magnitude of the tension force exerted by the spinalis muscle. Tmuscle

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11th Edition
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Chapter1: Units, Trigonometry. And Vectors
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A person bends forward to hold a dumbbell of 10.0-kg. The spine and upper
body are pivoted at the base of the spine, and represented as a uniform
horizontal rod of 25.0-kg with center of mass is 0.21m away from the pivot.
The horizontal distance from the dumbbell to the pivot is 0.42m. The spinalis
muscle, attached at a point 0.28 m away from the pivot, exerts a tension force
15° above the horizontal spine and maintains the position of the back.
a)
Determine the magnitude of torque exerted by the weight of the upper
body;
c)
b) Determine the magnitude of the torque exerted by the dumbbell;
Determine the magnitude of the torque exerted by the spinalis muscle;
Determine the magnitude of the tension force exerted by the spinalis
muscle.
d)
F1
2
A-
F2
#3
F3
X
F4
$
4
F5
%
5
+
F6
CC
29
F7
&
N
F8
*C
F9
Tmuscle
Pivot
F10
15
Center of mass
)
F11
E
F12
Insert
+
Prisc
Transcribed Image Text:A person bends forward to hold a dumbbell of 10.0-kg. The spine and upper body are pivoted at the base of the spine, and represented as a uniform horizontal rod of 25.0-kg with center of mass is 0.21m away from the pivot. The horizontal distance from the dumbbell to the pivot is 0.42m. The spinalis muscle, attached at a point 0.28 m away from the pivot, exerts a tension force 15° above the horizontal spine and maintains the position of the back. a) Determine the magnitude of torque exerted by the weight of the upper body; c) b) Determine the magnitude of the torque exerted by the dumbbell; Determine the magnitude of the torque exerted by the spinalis muscle; Determine the magnitude of the tension force exerted by the spinalis muscle. d) F1 2 A- F2 #3 F3 X F4 $ 4 F5 % 5 + F6 CC 29 F7 & N F8 *C F9 Tmuscle Pivot F10 15 Center of mass ) F11 E F12 Insert + Prisc
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