Acceleration of a mass-spring oscillation

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Homework Help Overview

The discussion revolves around a mass-spring system oscillating with a specified amplitude, spring constant, and mass. Participants are exploring how to determine the mechanical energy, maximum speed, and maximum acceleration of the system.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to calculate the mechanical energy and maximum speed but seeks guidance on finding the maximum acceleration. Some participants suggest using the relationship between amplitude and angular frequency, while others clarify the meaning of variables involved.

Discussion Status

The discussion has progressed with participants providing helpful guidance on the relationship between mass, spring constant, and angular frequency. The original poster expresses gratitude for the assistance received, indicating a productive exchange.

Contextual Notes

There is a lack of clarity regarding the relationship between the variables involved in the maximum acceleration calculation, which some participants are addressing. The original poster is working within the constraints of a homework assignment.

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Homework Statement



A mass-spring system oscillates with an amplitude of 3.30 cm. If the spring constant is 231 N/m and the mass is 537 g, determine the mechanical energy of the system. Determine the maximum speed of the object. Determine the maximum acceleration.


Homework Equations



.5*m*v^2=.5*k*delta*x^2

The Attempt at a Solution


THe mechanical energy= .126 J, and the maximum speed= .684 m/s
I don't know how to get the maximum acceleration... Could someone please point me towards the right equation to achieving this answer? Thanks!
 
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Maximum acceleration = -Aω^2.
Mass and k are given. Find ω.
 
I don't understand.. what am I setting -Aw^2 equal too? Also is A= amplitude?
 
Yes. A is the amplitude. Do you know the relation between k, m and ω?
And -Aω^2 = maximum acceleration which you want to find out.
 
No I'm not sure what the relationship is between them.
 
OK. ω = sqrt(k/m)
 
ok. Thank you, I have the answer now. You were a big help!
 

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