Elongation of a spring in a two mass system

In summary, the question involves a photograph with a slight change where one mass is equal to '2m' rather than 'm'. The problem is to determine the force balance on each of the masses at an arbitrary time, and the maximum elongation when the force balances will not occur. The answer provided does not address the question and another response asks for the force balance equations. The answer also mentions that if both masses are equal, the maximum compression would be seen at the time they both stop momentarily and consecutively, and their kinetic energies would turn into potential energy for the spring. However, the question also asks about the scenario where the masses are unequal, and finding the answer in that case may require finding the force balance equations or changing
  • #1
jha192001
22
2
The Question is posted as a photograph with a. little change. One of the mass in the photo is equal to '2m' rather than 'm'. Now the block won't stop consecutively.
How would we approach the question?

1538057568873~2.jpeg
 

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  • #2
What is your force balance on each of the masses at some arbitrary time?
 
  • #3
Chestermiller said:
What is your force balance on each of the masses at some arbitrary time?
Yes Ofcourse as per the question it clearly seems it will.
But please don't say it will be the maximum elongation when force balances cause it will not.
 
  • #4
jha192001 said:
Yes Ofcourse as per the question it clearly seems it will.
But please don't say it will be the maximum elongation when force balances cause it will not.
This answer doesn't seem to relate to my question at all. Please write down for us the force balance equations you derived to solve this problem.
 
  • #5
sir,
if both the blocks are of equal masses then the maximum compression would. be seen. at the time they both stop momentarily and consecutively the first time..Hence their kinetic enengirs would turn into potential for spring.

But my ques. of what if masses are unequal.
one is m and. other. is 2m.
Idont know how to find the answer then as both masses won't stop consecutively
 
  • #6
You still haven't answered my question. What are the force balance equations on the masses?
 
  • #7
jha192001 said:
Idont know how to find the answer then as both masses won't stop consecutively
Have you considered changing to a frame of reference where the center of mass is at rest?

Or you could consider writing down some equations as @Chestermiller has asked. Both roads lead to a solution.
 
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What is the "Elongation of a Spring in a Two Mass System"?

The "Elongation of a Spring in a Two Mass System" is a physical phenomenon that occurs when two masses are connected by a spring and one of the masses is pulled or pushed, causing the spring to stretch or compress. This results in a change in the length of the spring, known as elongation.

What factors affect the elongation of a spring in a two mass system?

The elongation of a spring in a two mass system is affected by several factors, including the mass of the two objects, the stiffness of the spring, and the force applied to the spring. The elongation is directly proportional to the force applied and inversely proportional to the stiffness of the spring.

How is the elongation of a spring in a two mass system calculated?

The elongation of a spring in a two mass system can be calculated using Hooke's Law, which states that the force applied to a spring is directly proportional to the displacement or elongation of the spring. The equation for this is F = -kx, where F is the force applied, k is the spring constant, and x is the elongation of the spring.

What is the significance of studying the elongation of a spring in a two mass system?

Studying the elongation of a spring in a two mass system is important in understanding the behavior of springs and their applications in various fields such as engineering and physics. It can also help in designing and optimizing systems that use springs, such as suspension systems in vehicles and shock absorbers.

How can the elongation of a spring in a two mass system be experimentally determined?

The elongation of a spring in a two mass system can be experimentally determined by measuring the displacement of the spring when a known force is applied. This can be done using a spring balance or a force sensor. The data collected can then be used to calculate the elongation and verify the relationship between force and elongation predicted by Hooke's Law.

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