Tension same at both ends of the string?

In summary, in the scenario described where three masses (m1, m2, and m3) are connected by massless strings and accelerating, the tension force on m1 due to m2 and m3 is equal to the tension force on m2 due to m1. This is assuming that m1 and m2 are on a table top and m3 is hanging freely off the side of the table.
  • #1
DarkBlitz
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Hey, I have a question on if the tension on either end of a string is equal. For example, if there are 3 blocks of different mass, one hanging of the side of the table and two on the top of the table, will the tension on the string from m1 to m2 be the same as the tension from m2 to m1?
 
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  • #2
DarkBlitz said:
Hey, I have a question on if the tension on either end of a string is equal. For example, if there are 3 blocks of different mass, one hanging of the side of the table and two on the top of the table, will the tension on the string from m1 to m2 be the same as the tension from m2 to m1?
Not quite sure what you mean. If the string is massless, and the string connects two blocks without anything intervening, then yes, the tension is the same throughout.

What's the exact scenario? Describe it more clearly.
 
  • #3
ok, sorry, there are 3 masses, m1, m2 ,m3, all different.
m1 and m2 are on a table top, and m3 is hanging freely of the side of the table. they are all connected and are accelerating.

my question is: is the tension at m1 due to m2 and m3 the same as the tension at m2 due to m1?
 
  • #4
DarkBlitz said:
ok, sorry, there are 3 masses, m1, m2 ,m3, all different.
m1 and m2 are on a table top, and m3 is hanging freely of the side of the table. they are all connected and are accelerating.

my question is: is the tension at m1 due to m2 and m3 the same as the tension at m2 due to m1?
Is this an accurate description?:

m1 and m2, on the table top, are connected by a massless string; m2 is connected to hanging mass m3 by a massless string.

If so, then sure, the tension force due to the string connecting m1 and m2 is the same on both masses.
 
  • #5
thanks!
 

FAQ: Tension same at both ends of the string?

What is tension in a string?

Tension in a string is the force that is applied to the string, causing it to stretch or become taut. It is measured in units of force, such as newtons or pounds.

Why is tension the same at both ends of a string?

According to Newton's Third Law of Motion, for every action, there is an equal and opposite reaction. This means that the force applied to one end of the string will be transmitted through the string to the other end, resulting in equal tension at both ends.

Does the length of the string affect the tension at the ends?

Yes, the tension at the ends of a string is directly proportional to the length of the string. This means that as the length of the string increases, the tension at the ends will also increase.

Can the tension at one end of a string be different from the other end?

No, the tension at both ends of a string must be equal as long as the string is in equilibrium. If there is a difference in tension, the string will either stretch or break.

How does the weight of an object attached to a string affect the tension at both ends?

The weight of an object attached to a string will increase the tension at both ends. This is because the weight of the object adds an additional force that must be countered by the tension in the string.

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