Are Tensions Represented as Unit Vectors in Physics Problems?

[suspenc3]

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

 

[AlephZero]

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.

 

[m2003]

for your question. Units are not tension vectors. Tension is a force, and as such, it has units of force, such as Newtons (N) or pounds (lb). Tension is a force that is exerted by a stretched or compressed object, such as a rope or spring. It is a vector quantity, which means it has both magnitude and direction. In the attached problem, T_{BDC} represents the tension force in the rope connecting points B and D, and T_{AEB} represents the tension force in the rope connecting points A and E. To solve this problem, you will need to use vector addition to find the resultant force of the two tension forces. This can be done by breaking the forces into their x, y, and z components and then adding them together. It is not necessary to convert the tension forces into unit vectors. I recommend reviewing vector addition and force analysis in order to better understand how to solve this problem.