# Assicamenty 1 in Engineering Mathematis (MA MATH31S e each of the two mass-displacements to be denoted...

###### Question:

Assicamenty 1 in Engineering Mathematis (MA MATH31S e each of the two mass-displacements to be denoted by x g Newton's 2nd and 3rd law of motion to Student Name Student No. Name: 1- Consider the two spring-mass system, and x,, and let us assume has the solutions can be written in the form x,-A, sin(ar-t). me each spring has the same spring constant .From vibration theory, develop a force-balance for each mass we have we have: 10A,@ -150-24,+A)- -204,o'-15(4-4) = 0 where A amplitude of the vibration of mass i, frequency of vibration, 0-phase shift. Find the frequency of the system (eigenvalues) and the amplitude of the vibration (eigenvector) Solution ANEON* NPS

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