Even when the head is held erect, as in the figure below, 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.Calculate the force (in N) exerted by these muscles. (Assumew = 55 N, r1 = 4.8 cm, and r2 = 2.9 cm.)magnitude Ndirection (upward, downward, to the left, or to the right) What is the force (in N) exerted by the pivot on the head?magnitude Ndirection (upward, downward, to the left, or to the right) The image illustrates the forces acting on the human head and neck. It shows a side view of the head, focusing on the mechanics involving the cervical spine.Key Elements in the Diagram:1. **CG (Center of Gravity)**: This is marked with a dot within the head, indicating the point where the mass of the head is centered.2. **Arrows and Forces**: - **\( F_J \)**: An upward arrow at the jaw, representing the joint force. This force acts to support the head. - **\( F_M \)**: A downward arrow at the back of the head, representing the force exerted by neck muscles that support the head's weight. - **\( w \)**: A downward arrow at the CG, representing the weight of the head.3. **Lever Arms**: - **\( r_1 \)**: The distance from the pivot (represented by a triangle beneath the skull) to the muscle force \( F_M \). - **\( r_2 \)**: The distance from the pivot to the weight of the head \( w \).4. **Spine Representation**: The diagram includes a depiction of the upper cervical vertebrae.The forces and distances are part of a biomechanical analysis of how muscles and joints work together to support the head, demonstrating concepts in physics related to levers and equilibrium.

Solution: Given that w = 55 N, r1 = 4.8 cm, and r2 = 2.9 cm.) magnitude N direction (upward,…

Answered: ould therefore exert a force to keep…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Concept explainers

Question

Even when the head is held erect, as in the figure below, 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.

Calculate the force (in N) exerted by these muscles. (Assume

w = 55 N, r₁ = 4.8 cm, and r₂ = 2.9 cm.)

magnitude N

direction (upward, downward, to the left, or to the right)

What is the force (in N) exerted by the pivot on the head?

magnitude N

direction (upward, downward, to the left, or to the right)

The image illustrates the forces acting on the human head and neck. It shows a side view of the head, focusing on the mechanics involving the cervical spine.

Key Elements in the Diagram:

1. **CG (Center of Gravity)**: This is marked with a dot within the head, indicating the point where the mass of the head is centered.

2. **Arrows and Forces**:
- **\( F_J \)**: An upward arrow at the jaw, representing the joint force. This force acts to support the head.
- **\( F_M \)**: A downward arrow at the back of the head, representing the force exerted by neck muscles that support the head's weight.
- **\( w \)**: A downward arrow at the CG, representing the weight of the head.

3. **Lever Arms**:
- **\( r_1 \)**: The distance from the pivot (represented by a triangle beneath the skull) to the muscle force \( F_M \).
- **\( r_2 \)**: The distance from the pivot to the weight of the head \( w \).

4. **Spine Representation**: The diagram includes a depiction of the upper cervical vertebrae.

The forces and distances are part of a biomechanical analysis of how muscles and joints work together to support the head, demonstrating concepts in physics related to levers and equilibrium.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions