What Is the Direction of Tension in a String?

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The discussion centers on understanding the direction of tension in a string, particularly in relation to connected masses. Tension in the string acts upward on both masses, and the forces must be equal at any point along the string. The relationship between the accelerations of the connected masses is crucial, as they must move together due to the constraints of the cord. A coordinate system must be established, typically with upward as positive and downward as negative, to properly formulate the equations. Understanding these concepts is essential for accurately analyzing the forces and motions involved.
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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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