Two masses attached with a spring.

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The discussion revolves around a system of two masses, M1 and M2, connected by a massless spring characterized by a force constant k and an unstretched length a. Participants are seeking to determine the normal coordinates and frequencies of vibration for the system, focusing on motion along the line connecting the masses. There is uncertainty regarding whether mass M1 is fixed to a wall or resting on a floor, as the problem lacks clarity on this aspect. Additionally, there is confusion about the term "normal coordinates," with some assuming it refers to the positions of the masses. The conversation highlights the need to establish the equations of motion for the particles to proceed with the analysis.
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1. Two masses M1 and M2 are joined by a massless spring of force constant k and unstretched length a. Obtain the normal coordinates of the system for motion along the line joining the particles, as well as the normal frequencies of vibration.http://tinypic.com/view.php?pic=33voh6v&s=7

Here is the picture given with the problem, it includes x distances from the wall. I'm not totally sure if the mass m1 is connected to the wall, or resting on a floor, as it doesn't say anything about that in the problem.

I'm not totally sure what "normal coordinates" are either. I'm just assuming the masses are only attached to each other, not the wall, and that "normal coordinates" is another way of saying "find the position/x value", which would explain the given x's.

Thank you!
 
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To begin with...

first, write down the basic equation for the motion of the particles individually!

What do u get??
 
I don't understand. The problem doesn't say anything about a force being applied to the spring system.
 
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