How Do You Determine the Overall Spring Constant in a Dual-Spring System?

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SUMMARY

The overall spring constant in a dual-spring system, where two identical springs with spring constant k are connected to a proof mass, is determined to be 2k when the springs are arranged in parallel and 0.5k when arranged in series. The discussion emphasizes the importance of understanding the definitions and equations related to spring constants in mechanical systems. Participants clarified the configurations and derived the overall spring constant based on these principles.

PREREQUISITES
  • Understanding of Hooke's Law and spring constants
  • Knowledge of series and parallel spring configurations
  • Basic principles of mechanical systems and dynamics
  • Familiarity with proof mass concepts in physics
NEXT STEPS
  • Study the derivation of spring constants in parallel and series configurations
  • Explore applications of Hooke's Law in real-world mechanical systems
  • Learn about the impact of damping on spring systems
  • Investigate the behavior of multi-spring systems under dynamic loads
USEFUL FOR

Physics students, mechanical engineers, and anyone studying dynamics and mechanical systems will benefit from this discussion on determining overall spring constants in dual-spring configurations.

lobrice
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Homework Statement



as drawn on the picture. a spring with spring constant k is connected to a fixed wall at one end, and the other end is connecting a proof mass. on the other side of the proof mass, there is a same spring connecting together.

what is the overall spring constant of the system. it is 2k, or 0.5k.

Homework Equations





The Attempt at a Solution

 

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lobrice said:

Homework Statement



as drawn on the picture. a spring with spring constant k is connected to a fixed wall at one end, and the other end is connecting a proof mass. on the other side of the proof mass, there is a same spring connecting together.

what is the overall spring constant of the system. it is 2k, or 0.5k.

Homework Equations





The Attempt at a Solution


Welcome to the PF. How is "spring constant" defined in terms of other quantities in problems like these? Can you use that definition to help you answer your question?
 

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