Two identical springs with spring constant k and with two Identical masses m

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SUMMARY

The discussion centers on calculating the kinetic and potential energy of a system involving two identical springs, each with a spring constant k, and two identical masses m. The configuration consists of one spring attached to a fixed point A, with a mass m hanging from it, and a second spring attached to the first mass, supporting another mass m. The system is in a state of motionless equilibrium, leading to questions about the presence of kinetic energy despite the lack of horizontal motion. Key equations relevant to this analysis include Hooke's Law and the formulas for gravitational potential energy.

PREREQUISITES
  • Understanding of Hooke's Law and spring constants
  • Knowledge of gravitational potential energy calculations
  • Familiarity with kinetic energy concepts
  • Basic principles of static equilibrium in mechanical systems
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  • Study the application of Hooke's Law in multi-spring systems
  • Explore the derivation of potential energy in spring-mass systems
  • Investigate the conditions under which kinetic energy is present in equilibrium systems
  • Learn about energy conservation principles in mechanical systems
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Physics students, mechanical engineers, and anyone interested in understanding energy dynamics in spring-mass systems.

big_zipp
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I am trying to figure out what the kinetic and potential energy of this system. A spring is attached to point A, a mass m hangs from the other end of the spring. Another spring hangs from the first mass, and another mass hangs from the second spring. There is no motion in the horizontal direction. The non stretched spring's length is b.

I'm just looking to find the kinetic and potential energy.

Thank you
 
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big_zipp said:
I am trying to figure out what the kinetic and potential energy of this system. A spring is attached to point A, a mass m hangs from the other end of the spring. Another spring hangs from the first mass, and another mass hangs from the second spring. There is no motion in the horizontal direction. The non stretched spring's length is b.

I'm just looking to find the kinetic and potential energy.

Thank you

What are your thoughts? What are the Relevant Equations? Why would there be kinetic energy involved -- it sounds like the system is in motionless equilibrium?
 

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