Vector Decomposition and Trig in Tension Force Analysis

In summary, the conversation is discussing a solved problem involving trigonometry, specifically the relationship between sine and cosine. The person asking the question is trying to understand why sine is horizontal and cosine is vertical and the other person is asking for more specific information, including if they are familiar with SOH CAH TOA and if they can draw a labelled right angled triangle. The conversation also touches on understanding vector decomposition and using trig to find lengths of right triangle sides. The final prompt asks for a drawing of a labelled right angled triangle with specific information included.
  • #1
Scorry
17
1

Homework Statement



This is a solved problem. It is attached. Why is sin theta horizontal, and cosine theta vertical?

Homework Equations



All relevant equations are given.

The Attempt at a Solution


The solution is given.
 

Attachments

  • image.jpeg
    image.jpeg
    69 KB · Views: 417
Physics news on Phys.org
  • #2
Scorry said:

Homework Statement



This is a solved problem. It is attached. Why is sin theta horizontal, and cosine theta vertical?
You'll have to be more specific.
The short answer is: Because trigonometry says so.
 
  • #3
Its been a while since I have seen trig. Can you explain how I should look at it? It says theta is relative to the vetical.
 
  • #4
Are you familiar with SOH CAH TOA?
Can you draw a labelled right angled triangle with FT as the hypotenuse?
 
  • #5
billy_joule said:
Are you familiar with SOH CAH TOA?
Can you draw a labelled right angled triangle with FT as the hypotenuse?
Yes remember those 3 trig functions. I can draw a right triangle with the hypotenuse labeled Tension force. Where are you going with this?
 
  • #6
Scorry said:
Yes remember those 3 trig functions. I can draw a right triangle with the hypotenuse labeled Tension force. Where are you going with this?
I'm trying to ascertain what exactly you are having trouble with. Do you understand vector decomposition? Do you understand why you need to do it in this case? Can you use trig to find lengths of a right triangle sides?

'draw a labelled right angled triangle' = include all information you have. Orientation relative to x & y axis, theta, Label the other sides descriptively ie FT,X FT, Y. Using SOH CAH TOA, what are the lengths of the opposite and adjacent sides?
 

1. What is a tension force in an accelerometer?

A tension force in an accelerometer is the force that is applied to an object due to its acceleration. It is measured in units of Newtons (N) and is responsible for causing the object to move and create a change in velocity.

2. How does an accelerometer measure tension force?

An accelerometer measures tension force by using a series of microelectromechanical systems (MEMS) sensors that can detect changes in acceleration. These sensors produce an electric signal that is measured and converted into a numerical value representing the tension force.

3. What is the relationship between tension force and acceleration in an accelerometer?

The relationship between tension force and acceleration in an accelerometer is directly proportional. This means that as the tension force increases, the acceleration of the object also increases. This relationship is described by Newton's Second Law of Motion: F=ma.

4. Can an accelerometer measure tension force in any direction?

Yes, an accelerometer can measure tension force in any direction. This is because it is designed with three-axis sensors that can detect acceleration in the x, y, and z directions. This allows the tension force to be measured in any orientation or direction.

5. What are some common applications of tension force measurement using accelerometers?

Some common applications of tension force measurement using accelerometers include monitoring the performance of industrial machinery, measuring the acceleration forces in vehicles during crashes, and detecting the movement and vibrations of structures such as bridges and buildings.

Similar threads

  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
876
  • Introductory Physics Homework Help
Replies
5
Views
499
  • Introductory Physics Homework Help
Replies
3
Views
931
  • Introductory Physics Homework Help
Replies
6
Views
2K
  • Introductory Physics Homework Help
Replies
6
Views
1K
  • Introductory Physics Homework Help
Replies
19
Views
809
  • Introductory Physics Homework Help
Replies
11
Views
1K
  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
3
Views
1K
Back
Top