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## Homework Statement

So, we are considering a spring-mass system, in which the mass at the end of the spring, M, is comparable to the mass of the spring, m.

Using Newtons laws, I have to calculate, how significant the mass of the spring is.

## Homework Equations

Mass at the end of the spring, M.

Mass of the spring, m.

Spring constant, k.

Newtons second law, and Hooke's law.

## The Attempt at a Solution

Actually, I have tried quite lot different approaches, but they don't seem to give me anything useful.

My latest attempt was to take a differential piece of mass of the spring, and calculate it's acceleration, in hope of getting something which i could integrate, but it didn't seem to work out.

I was asked this question by a high school student, whom I have to help writing a larger assignment.

I solved this problem rather easily using Lagrangian mechanics, but this is not available to the student, so I have to do it with Newtonian mechanics, which doesn't seem too easy.

I really appreciate any help I can get.