Tension in the chain from a distance

In summary, tension in the chain from a distance refers to the force applied to a chain when it is pulled or stretched from a distance away. It can be measured using various methods and can be affected by factors such as weight, distance, angle, and chain material. It can significantly impact the chain's overall strength and can be managed or reduced by carefully considering these factors and using a stronger chain.
  • #1
ubergewehr273
142
5

Homework Statement


A chain of mass ##M## and length ##L## held vertically by fixing its upper end to a rigid support. The tension in the chain at a distance ##y## from the rigid support is

Homework Equations


##F=ma## (Newton's 2nd law)

The Attempt at a Solution


Since net acceleration, ##a=0##,
Therefore, ##F=0##
Hence, ##T=Mg##,
Then onward I don't seem to get my head around.
The answer given is :
##\frac{Mg(L-y)}{L}##
 
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  • #2
How about considering a point half way ? Is the full weight hanging from that point ?
 
  • #3
I think the approach can be implemented in the problem.
 

1. What is tension in the chain from a distance?

Tension in the chain from a distance refers to the force applied to a chain when it is pulled or stretched from a distance away. This force is transmitted through the links of the chain and can affect its overall strength and stability.

2. How is tension in the chain from a distance measured?

Tension in the chain from a distance can be measured using a variety of methods, including strain gauges, load cells, and dynamometers. These devices are typically attached to the chain and can provide real-time measurements of the applied force.

3. What factors can affect tension in the chain from a distance?

Several factors can affect tension in the chain from a distance, including the weight of the object being pulled, the distance between the object and the chain, the angle at which the force is applied, and the material and strength of the chain itself.

4. How does tension in the chain from a distance impact the overall strength of the chain?

Tension in the chain from a distance can significantly impact its overall strength. If the force applied is greater than the chain's weight capacity, it can cause the links to stretch or break, leading to failure. Additionally, repeated or prolonged tension can weaken the chain over time.

5. How can tension in the chain from a distance be managed or reduced?

To manage or reduce tension in the chain from a distance, it is essential to carefully consider and calculate the weight of the object being pulled, the distance between the object and the chain, and the angle at which the force is applied. Additionally, using a stronger and more durable chain can help withstand higher levels of tension.

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