Even when the head is held erect, as shown in the figure, its center of mass is not directly over the principal point of support (the atlanto-occipital joint, Point A). The muscles at the back of the neck should, therefore, exert a force to keep the head erect. That is why your head falls forward when you fall asleep in the class. If the head weighs 51 N, calculate the force exerted by the muscles FM using the information in the figure. Assume that x₁ = 5.3 cm, x2 = 2.5 cm, and | Fw = 51 N. FM = What is the force FJ exerted by the pivot on the head? F₁ = N N

University Physics Volume 1
18th Edition
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Chapter10: Fixed-axis Rotation
Section: Chapter Questions
Problem 117AP: Two children push on opposite sides of a door during play. Both push horizontally and perpendicular...
Question

Even when the head is held erect, as shown in the figure, its center of mass is not directly over the principal point of support (the atlanto-occipital joint, Point A). The muscles at the back of the neck should, therefore, exert a force to keep the head erect. That is why your head falls forward when you fall asleep in the class. If the head weighs 51 N, calculate the force exerted by the muscles Fm using the information in the figure. Assume that x1=5.3 cm, x2 = 2.5 cm, and |Fw|= 51 N. What is the force Fj exerted by the pivot on the head? Fj=

Even when the head is held erect, as shown in the figure, its
center of mass is not directly over the principal point of
support (the atlanto-occipital joint, Point A). The muscles at
the back of the neck should, therefore, exert a force to keep
the head erect. That is why your head falls forward when you
fall asleep in the class.
If the head weighs 51 N, calculate the force exerted by the
muscles FM using the information in the figure. Assume that
x₁ = $5.3 cm, x2
=
2.5 cm, and Fw
= 51 N.
FM
What is the force FJ exerted by the pivot on the head?
F₁ =
II
N
F
M
N
X,
F
|| 1
Transcribed Image Text:Even when the head is held erect, as shown in the figure, its center of mass is not directly over the principal point of support (the atlanto-occipital joint, Point A). The muscles at the back of the neck should, therefore, exert a force to keep the head erect. That is why your head falls forward when you fall asleep in the class. If the head weighs 51 N, calculate the force exerted by the muscles FM using the information in the figure. Assume that x₁ = $5.3 cm, x2 = 2.5 cm, and Fw = 51 N. FM What is the force FJ exerted by the pivot on the head? F₁ = II N F M N X, F || 1
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