Time period in harmonic oscillation.

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Homework Help Overview

The discussion revolves around understanding the time period of harmonic oscillation, specifically in the context of a mass-spring system. Participants are examining the potential energy associated with the system and its implications for oscillation behavior.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to clarify the meaning of potential energy in relation to the equilibrium position of the oscillator. There are questions about the relevance of resting potential energy and how it factors into the total energy during oscillations.

Discussion Status

Some participants have offered insights into the interpretation of potential energy in the context of the problem, while others are questioning the assumptions made regarding energy measurements. There is an ongoing exploration of how resting energy and oscillatory energy interact in the system.

Contextual Notes

There appears to be some confusion regarding the proper use of the template for relevant equations, as well as the interpretation of energy states in the context of harmonic motion. Participants are discussing the implications of these factors on the overall understanding of the problem.

LoveBoy
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Homework Statement


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Homework Equations


Find Time Period.
Find the error in my solution.

The Attempt at a Solution


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Where i am wrong ?
 
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I'm not sure, but I strongly suspect that the phrase, "The potential energy of a harmonic oscillation if mass 2 kg in its resting position is 5 joules", is meant to convey that the at the equilibrium position the spring (or spring-like component of the oscillator) has a displacement from its relaxed position resulting in 5 joules of potential energy stored in the spring.

Think of a vertically arranged mass-spring oscillator. When the system is at rest with the mass hanging at the equilibrium position the spring will be stretched from its relaxed state. So during oscillations there will be some PE in the spring even as the mass passes through the equilibrium point.
 
LoveBoy said:

Homework Equations


Find Time Period.
Find the error in my solution.
By the way, the Relevant equations portion of the template is not for more problem statement or questions. It's meant for you to list equations that you believe are pertinent to the type of problem being solved. For this problem you might list Hooke's law, your energy equation, the relationship between angular frequency and period, and so forth.
 
LoveBoy said:
Where i am wrong ?
i think you have to include the resting position of potential energy -5 J
from rest position if it gets disturbed it oscillates. so your measurement of energy may include the rest energy.
in oscillations only extra energy from this rest is being utilised- so total energy = resting energy + oscillatory energy
 

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