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Mass spring system

  • Thread starter acpower89
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  • #1
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Homework Statement


Obtain the expressions for the natural frequencies and mode shapes for the case where m1=m2=m.

screenshot.png


Homework Equations




The Attempt at a Solution



I apologise for not making an attempt, this is just unlike anything I've seen.

I'd appreciate if anyone could demystify this problem.
 

Answers and Replies

  • #2
haruspex
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Do the usual free body analysis and write the force/acceleration equations for each of the two masses.
 
  • #3
haruspex
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Consider mass m1. If at some time t it is displaced vertically downward wrt m2 by an amount x1, what are the forces in the springs? What is ythe net vertical force on it? What is its displacement relative to the ground? What is its acceleration? What differential equation does that give you?
 

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