Maximum mechanical energy in the spring-block system

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Homework Help Overview

The discussion revolves around a spring-block system and the determination of maximum mechanical energy, focusing on the effects of different reference frames. Participants explore concepts related to energy conservation, kinetic and potential energy, and the implications of frame dependence in mechanics.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the application of conservation of energy in different frames, questioning the kinetic energy of the block in both the moving and laboratory frames. They explore the implications of maximum elongation and the conditions under which maximum mechanical energy occurs.

Discussion Status

There is an ongoing exploration of the problem with various interpretations being considered. Some participants suggest different approaches to express energy in terms of time and frame transformations, while others question the correctness of previous assumptions and calculations. Guidance has been offered regarding the relationship between energy and reference frames.

Contextual Notes

Participants note the complexity introduced by changing reference frames and the need to clarify the conditions under which maximum energy is achieved. There are indications of potential sign errors in expressions related to motion, and the discussion reflects a mix of certainty and uncertainty regarding the correct approach.

  • #31
One last question , am I right in concluding that during the course of motion the work done by external agent pulling the free end would be both positive and negative ? Alternate positive and negative work would be done by the agent .

??
 
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  • #32
Vibhor said:
One last question , am I right in concluding that during the course of motion the work done by external agent pulling the freed end would be both positive and negative ? Alternate positive and negative work would be done by the agent .

??
Yes, there are times when the pulling force is doing positive work and times when it is doing negative work. The total work done (starting at t = 0) varies between 0 and 2mv2 over and over again. So, the total work done since the start is never negative.
 
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  • #33
Thank you very much Sir :smile: .
 

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