Simple harmonic motion

  • #1
The total movement of a body oscillating with simple harmonic motion is 200mm. If the frequency of oscillation is 6Hz, determine the maximum velocity and maximum acceleration of the body.

I missed the class when this was done so I haven't got the notes. Im not sure if this is right but I found these equations

v = w Acos wt
a = -w2 Asin wt = -w2y

Anyone point me in the right direction please?
 

Answers and Replies

  • #2
rock.freak667
Homework Helper
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The total movement of a body oscillating with simple harmonic motion is 200mm. If the frequency of oscillation is 6Hz, determine the maximum velocity and maximum acceleration of the body.

I missed the class when this was done so I haven't got the notes. Im not sure if this is right but I found these equations

v = w Acos wt
a = -w2 Asin wt = -w2y

Anyone point me in the right direction please?

If you know v=ωA*cosωt

vmax will occur when cosωt is maximum, so cosωt is what number?
 
  • #3
I found this info http://electron9.phys.utk.edu/phys135d/modules/m9/oscillations.htm [Broken] so Im reading this.
 
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  • #4
Im still none the wiser!
 
  • #5
rock.freak667
Homework Helper
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I found this info http://electron9.phys.utk.edu/phys135d/modules/m9/oscillations.htm [Broken] so Im reading this.

Im still none the wiser!

Well let's start simple. For the graph of y=sinx, what is the maximum value of y? (the graph oscillated between?)


what is the relationship between ω and the frequency?
 
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  • #6
Is the max value of y 1? Going back to trig and waveforms.
Isn't ω 2∏ times the frequency?
 
  • #7
rock.freak667
Homework Helper
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Is the max value of y 1? Going back to trig and waveforms.
Isn't ω 2∏ times the frequency?

Right, so wouldn't

vmax=ωA ?
 

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