Tension in string when force is applied to both ends

In summary, tension is not simply the sum of forces applied on both ends. In the case of a massless string, a force of 100 N must be applied on both ends to create a tension of 100 N within the string. Additionally, when a mass is hanging from a vertical string in equilibrium, the force exerted downwards by the mass is equal to the force exerted upwards by the top end of the string.
  • #1
vaizard
12
0
Hi,

I've got a quick question about tension. If there is a force applied to both ends, the total tension is the sum of those forces, right (i.e., they don't cancel each other out)?

TIA!
 
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  • #2
Wrong. Take a massless string for example. To create a tension of 100 N within the string, you must apply a force of 100 N to both ends. (Those forces don't add up.)
 
  • #3
So when the string is vertical and in equilibrium with a mass hanging from it, there is a certain force exerted downwards by the mass and that same force exerted upwards by whatever the top end of the string is attached to?
 
  • #4
That's right.
 

Related to Tension in string when force is applied to both ends

1. What is tension in a string?

Tension in a string is the force that is transmitted through the string when it is pulled at both ends. It is the measure of how much the string is stretched or compressed.

2. How is tension in a string calculated?

The tension in a string can be calculated using the equation T = F/A, where T is the tension, F is the applied force, and A is the cross-sectional area of the string.

3. How does tension in a string change when force is applied to both ends?

When force is applied to both ends of a string, the tension in the string increases. This is because the force causes the string to stretch, and the tension is the reaction force that resists this stretching.

4. What factors affect the tension in a string?

The tension in a string is affected by the material properties of the string, such as its elasticity and strength. It is also influenced by the magnitude and direction of the applied force, as well as the length and thickness of the string.

5. How does tension in a string affect the speed of a wave traveling through it?

The tension in a string is directly proportional to the speed of a wave traveling through it. This means that as tension increases, the speed of the wave also increases. This relationship is described by the equation v = √(T/μ), where v is the speed of the wave, T is the tension, and μ is the linear density of the string.

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