What Is the Direction of Tension in a String?

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Homework Help Overview

The discussion revolves around understanding the direction of tension in a string, particularly in the context of connected masses and their accelerations. Participants are exploring the implications of tension forces and coordinate systems in physics.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the choice of coordinate systems and the signs associated with forces and accelerations. There is a focus on how the acceleration of one mass relates to the other and the implications of these relationships on the equations governing the system.

Discussion Status

Some participants have provided guidance on considering the acceleration constraints and the importance of defining a consistent coordinate system. There is an ongoing exploration of how to represent forces and their directions in equations, with no explicit consensus reached yet.

Contextual Notes

There are indications of confusion regarding the signs used in equations and the overall understanding of tension in the context of connected masses. Participants are encouraged to clarify their assumptions and coordinate choices.

Aladin
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Please explain the direction of tension in a string .
 

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please repply me as soon as possible
 
What is your coordinate system? Where is your origin, which direction is positive and which direction is negative?
 
Recall that at any point on a string under tension, there will be a force acting up and another force acting down the string. Furthermore, recall that these forces must be equal.
 
acceleration constraint

Aladin said:
Please explain the direction of tension in a string .
I suspect that you understand perfectly well that the string tension pulls up on both masses. What you are trying to understand is how the signs are chosen in the equations.

What you need to understand is the how the acceleration of m_1 relates to the acceleration of m_2. Since they are connected by a cord, they are constrained to move together. If you arbitrarily call the acceleration of m_1 to be "a" upward, what must be the acceleration of m_2?

Once you understand the above "acceleration constraint", you can pick a coordinate system and write your equations. For example, choose up to be + and down to be -. Use that convention and try writing the equations for each mass.
 
Doc Al said:
Once you understand the above "acceleration constraint", you can pick a coordinate system and write your equations. For example, choose up to be + and down to be -. Use that convention and try writing the equations for each mass.

Right. And if all else fails, split your system into parts and draw your FDB with your axes included.
 
I am not understand please just tell me about the sign that are used in both equations.
 

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