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(Solved): pls solve the question Question 6 Consider the system shown in Fig Q6. Deduce the equation of ...


Question 6 Consider the system shown in Fig Q6. Deduce the equation of motion of the system and cast it in matrix form. Deter

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Question 6 Consider the system shown in Fig Q6. Deduce the equation of motion of the system and cast it in matrix form. Determine the natural frequencies, the modal vectors. Plot the mode shapes. Figure 96


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To deduce the equation of motion for the system shown in the diagram, we can apply Newton's second law of motion to each mass.
Let's denote the displacements of mass m1 and m2 as x1 and x2, respectively.

The forces acting on each mass are due to the springs and can be determined using Hooke's law:




For mass m1:   
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