What is the Force Due to Extension for a Particle on an Elastic String?

AI Thread Summary
The discussion revolves around calculating the force due to extension for a particle attached to an elastic string. The particle's mass is m, and the string has a natural length a and modulus mg. Participants express confusion over the correct formula for the force due to extension, with one suggesting it is mgx/a, while others argue this is incorrect as it does not account for the stretch distance L. The correct approach involves using the spring constant, where the force due to the stretch is given by F = kL. The conversation highlights the need for clarity on the modulus and its implications in the context of the problem.
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Homework Statement


A particle of mass m is attached to one end of a light elastic string of natural length a and modulus mg, the other end of the sting is attached to a fixed point O on smooth horizontal surface. The particle is released from rest at horizontal distance a+L from O.

calculate the force due to extension of string.


Homework Equations





The Attempt at a Solution


obviously one of the force will be 'mg' but force due to extension is hard to calculate. the answer for that one is mgx/a.
Also I am not sure if that modulus means young modulus
PLEASE help me
 
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The spring is stretched distance L. The force due to the stretch is
F = kL, where k is the spring constant.

The mgx/a answer you quote is unreasonable because it does not contain the amount of stretch, L, and does contain g which is not involved in a purely horizontal problem.
 
i thought so too. its seemingly unreasonable.
 

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