Even when the head is held erect, as in Figure 9.41, its

Chapter 3, Problem 32PE

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QUESTION:

Even when the head is held erect, as in Figure 9.41, its center of mass is not directly over the principal point of support (the atlanto-occipital joint). 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. (a) Calculate the force exerted by these muscles using the information in the figure. (b) What is the force exerted by the pivot on the head?

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QUESTION:

Even when the head is held erect, as in Figure 9.41, its center of mass is not directly over the principal point of support (the atlanto-occipital joint). 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. (a) Calculate the force exerted by these muscles using the information in the figure. (b) What is the force exerted by the pivot on the head?

ANSWER:

Solution 32PE Step-by-step solution Step 1 of 3 Apply the condition of static equilibrium. The net torque and the net force acting on the system is zero if it is in the state of static equilibrium.

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