Are Tensions Represented as Unit Vectors in Physics Problems?

Click For Summary
SUMMARY

Tensions in physics problems are represented as unit vectors to accurately depict their direction and magnitude. In the context of the cable BDC, the tension in segments BD and DC is uniform due to the continuous nature of the cable and the presence of a pulley at point D. To solve these problems, it is essential to resolve tensions into their i, j, and k components, ensuring that forces act along the length of the strings. This method clarifies the relationship between the forces and their respective directions.

PREREQUISITES
  • Understanding of vector representation in physics
  • Familiarity with unit vectors and their components
  • Knowledge of tension forces in mechanical systems
  • Basic principles of pulley systems
NEXT STEPS
  • Study vector decomposition techniques in physics
  • Learn about the mechanics of pulleys and tension forces
  • Explore examples of resolving forces into i, j, k components
  • Practice solving problems involving multiple tensions in static systems
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and tension problems, as well as educators looking for clear explanations of vector representation in force analysis.

suspenc3
Messages
400
Reaction score
0

Homework Statement



See Attachment


Homework Equations





The Attempt at a Solution



Im just trying to figure out all of the forces, I am kinda confused about the whole T_{BDC} Do i just make these two separate tensions...and then add them together or something? Can someone explain how I should go about doing this? Also concerning the tensions, should I just make them into unit vectors...in i, j, and k components?

Im kinda new to these problems, any help would be appreciated..


Thanks
 

Attachments

  • 8989998989.JPG
    8989998989.JPG
    31 KB · Views: 1,121
Physics news on Phys.org
The cable BDC is continuous and there is a pulley at D. So the tension in the two parts BD and DC is the same.

Yes, you will need to resolve the tensions in the strings into their i j k components. That's how you represent the fact that the force must act along the length of the string, not in a different direction.
 

Similar threads

Replies
26
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
Replies
16
Views
1K
  • · Replies 10 ·
Replies
10
Views
1K
Replies
13
Views
2K
  • · Replies 19 ·
Replies
19
Views
2K
Replies
13
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 29 ·
Replies
29
Views
1K