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Figure P8 shows a spring-mass system consisting of  multiple linear springs arr...

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Figure P8 shows a spring-mass system consisting of multiple linear springs arranged in a combination of series and parallel connections

The top three springs with stiffness k, 2k, and 3k are connected in parallel to a rigid bar. This bar is then connected to the mass M through two identical springs (each of stiffness k) arranged in series.

Which of the following correctly represents the

equivalent stiffness, k

, of the system?

Assume all springs are linear, massless, and deform only in the vertical direction.

Select the correct answer.

Figure P8. Spring and mass system.

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