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Mass on a Spring

  • Thread starter joeypeter
  • Start date
  • #1
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Homework Statement


A 1.30 kg mass on a spring oscilates horizontally with little friction according to the following equation: x = 0.070cos(2.50t), where x is in meters and t in seconds.
1) Find the maximum energy stored in the spring during an oscillation.

2) Find the maximum velocity of the mass.


Homework Equations


I have no clue how to do this problem. Can someone show me step by step how to do it.


The Attempt at a Solution

 

Answers and Replies

  • #2
458
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The displacement function of simple harmonic motion is:

[tex]x(t) = Acos(\omega t +\phi )[/tex]

There is an equation that relates the angular frequency to the mass and the spring constant, and the maximum energy of a SHM system is 1/2 kA^2.

The maximum velocity can be obtained by finding the derivative of the displacement function and determining what the maximum value of sin is.
 

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