The drawing shows a wire tooth brace used by orthodontists. The topmost tooth is protruding slightly, and the tension in the wire exerts two forces T and T' on this tooth in order to bring it back into align- ment. If the forces have the same magnitude of 21.0 N, what is the mag- nitude of the net force exerted on the tooth by these forces? 55. 16.0° Dans 16.0⁰ T Brace

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)...
icon
Related questions
Topic Video
Question

Ch.4 #55 . Please see attached image for Physics question . Thank you

**Transcription for Educational Website:**

**Topic: Orthodontic Forces and Tooth Braces**

**Understanding the Forces:**

The image illustrates a wire tooth brace used in orthodontics. The scenario involves a topmost tooth that is protruding slightly from its intended position. To correct this misalignment, the tension in the wire applies two forces on the tooth, denoted as \( \vec{T} \) and \( \vec{T'} \).

Key information provided in the problem:

- Both forces \( \vec{T} \) and \( \vec{T'} \) have identical magnitudes of 21.0 N.
- Each force is directed at an angle of 16.0° from the horizontal axis towards the center line of the tooth alignment.

**Diagram Explanation:**

The diagram represents a top-down view of the dental arch, showing the teeth and the brace wire. 

- Two vectors, \( \vec{T} \) and \( \vec{T'} \), point inward at each side of the protruding tooth.
- These vectors are symmetrically arranged, each creating a 16.0° angle with an imaginary horizontal line extending from the tooth’s alignment.

**Problem to Solve:**

Given the setup, we are tasked with finding the magnitude of the net force that these two tension forces exert on the protruding tooth.

**Conceptual Approach:**

To find the net force, consider the following steps:
- Analyze the components of the forces \( \vec{T} \) and \( \vec{T'} \) in both the horizontal and vertical directions.
- Sum the corresponding components of these forces to determine the resultant or net force acting on the tooth.

This problem helps in understanding the mechanics behind orthodontic braces and how forces are used to correct tooth alignment.
Transcribed Image Text:**Transcription for Educational Website:** **Topic: Orthodontic Forces and Tooth Braces** **Understanding the Forces:** The image illustrates a wire tooth brace used in orthodontics. The scenario involves a topmost tooth that is protruding slightly from its intended position. To correct this misalignment, the tension in the wire applies two forces on the tooth, denoted as \( \vec{T} \) and \( \vec{T'} \). Key information provided in the problem: - Both forces \( \vec{T} \) and \( \vec{T'} \) have identical magnitudes of 21.0 N. - Each force is directed at an angle of 16.0° from the horizontal axis towards the center line of the tooth alignment. **Diagram Explanation:** The diagram represents a top-down view of the dental arch, showing the teeth and the brace wire. - Two vectors, \( \vec{T} \) and \( \vec{T'} \), point inward at each side of the protruding tooth. - These vectors are symmetrically arranged, each creating a 16.0° angle with an imaginary horizontal line extending from the tooth’s alignment. **Problem to Solve:** Given the setup, we are tasked with finding the magnitude of the net force that these two tension forces exert on the protruding tooth. **Conceptual Approach:** To find the net force, consider the following steps: - Analyze the components of the forces \( \vec{T} \) and \( \vec{T'} \) in both the horizontal and vertical directions. - Sum the corresponding components of these forces to determine the resultant or net force acting on the tooth. This problem helps in understanding the mechanics behind orthodontic braces and how forces are used to correct tooth alignment.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
First law of motion
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.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON