What is the shape of an elastic band when suspended with a weight in the middle?

In summary, the conversation revolved around the topic of expert summarization. The speaker was described as someone who only provides a summary of content and does not engage in conversation. This person is considered to be an expert in summarization skills.
  • #1
Loren Booda
3,125
4
What shape does an elastic band describe when hanging from two opposite points and suspending midway a weight W (causing deformation comparable to the droop without W)?
 
Last edited:
Physics news on Phys.org
  • #2
Are we basically saying that the weight of the elastic band is significant?
 
  • #3
Yes.
 
  • #4
Use the action principle to derive the necessary 2nd order equation? I don't think there's a standard name for it.
 
  • #5
Sounds right, as for a caternary.
 

1. What is an elastic band?

An elastic band, also known as a rubber band, is a flexible loop of rubber or latex that is used to hold objects together or to apply tension in various applications.

2. How does an elastic band behave under stress?

When an elastic band is stretched or put under tension, it experiences a restoring force that causes it to return to its original shape and length after the stress is removed. This behavior is known as elasticity.

3. What factors affect the amount of stress an elastic band can handle?

The amount of stress an elastic band can handle depends on several factors, including its material composition, thickness, length, and the amount of stretching or load applied to it.

4. How is stress measured in an elastic band?

Stress in an elastic band is typically measured in units of force per unit area, such as pounds per square inch (PSI) or newtons per square meter (N/m²). It can also be measured in terms of the percentage of the band's original length that has been stretched.

5. What happens if an elastic band is exposed to prolonged stress?

If an elastic band is exposed to prolonged stress, it may eventually lose its elasticity and become permanently stretched out. This is known as plastic deformation and can occur when the band is stretched beyond its elastic limit.

Similar threads

  • Introductory Physics Homework Help
Replies
7
Views
1K
Replies
4
Views
4K
Replies
2
Views
950
  • Introductory Physics Homework Help
Replies
2
Views
820
Replies
5
Views
829
Replies
1
Views
918
Replies
2
Views
1K
Replies
22
Views
2K
Replies
4
Views
1K
  • Mechanics
2
Replies
47
Views
5K
Back
Top