Kinetic/Potential energy of spring mass system

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SUMMARY

The discussion centers on the impact of an external force F(t) on the kinetic energy (KE) and potential energy (PE) of a spring-mass system. It is established that while the potential energy V(q) remains unaffected by the external force, the kinetic energy T(q) is influenced by the force acting on mass m1. The distances q1 and q2 from the wall to masses m1 and m2 are critical in determining the system's energy dynamics.

PREREQUISITES
  • Understanding of classical mechanics principles
  • Familiarity with spring-mass systems
  • Knowledge of kinetic and potential energy equations
  • Basic grasp of external forces in mechanical systems
NEXT STEPS
  • Study the equations for kinetic energy in spring-mass systems
  • Explore the concept of external forces and their effects on mechanical systems
  • Learn about energy conservation in dynamic systems
  • Investigate the role of displacement in potential energy calculations
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Students studying physics, particularly those focusing on mechanics, as well as educators and anyone interested in understanding the dynamics of spring-mass systems.

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Homework Statement


Question: Does the force F(t) acting on mass m1 affect the equations for kinetic and potential energy of the system?
spring mass system with force.jpg

Homework Equations


KE and PE (spring-mass system).png

F(t) is known
V(q) is potential energy | T(q) is kinetic energy

The Attempt at a Solution


I think PE is not affected.
I think KE is affected, but not sure how?
 
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q1 is distance from wall to m1
q2 is distance from wall to m2
 
I am not clear what the question is but certainly, F(t() is an external force acting on the system.
 

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