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Acceleration of a mass-spring oscillation

  • Thread starter Knfoster
  • Start date
  • #1
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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!
 

Answers and Replies

  • #2
rl.bhat
Homework Helper
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Maximum acceleration = -Aω^2.
Mass and k are given. Find ω.
 
  • #3
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I don't understand.. what am I setting -Aw^2 equal too? Also is A= amplitude?
 
  • #4
rl.bhat
Homework Helper
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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.
 
  • #5
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No I'm not sure what the relationship is between them.
 
  • #6
rl.bhat
Homework Helper
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OK. ω = sqrt(k/m)
 
  • #7
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ok. Thank you, I have the answer now. You were a big help!
 
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