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Old 31-05-2009: 31st May 2009 14:43 #1 
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Default Edexcel M3 Revision May 2004 Q7d
 
I am trying to revise M3 and I got to this last question on this exam paper.

Question summarised is:
Particle of mass 0.3kg is oscillating on end of spring (mod is 21.6N and nat length 2m) with amplitude 1.5m, period pi/3.
Then collides with Q mass 0.2kg at the equilllibrium position and coalesces to form R.

d)Show that R also moves with simple harmonic motion and find the amplitude of this motion [7].

I believe the amplitude is about 1.1m as used the formula that w=va and w^2=(lamda)/lm.

Thanks.
 
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Old 31-05-2009: 31st May 2009 16:15 #2 
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Default Re: Edexcel M3 Revision May 2004 Q7d
 
Originally Posted by jackbourne
I am trying to revise M3 and I got to this last question on this exam paper.

Question summarised is:
Particle of mass 0.3kg is oscillating on end of spring (mod is 21.6N and nat length 2m) with amplitude 1.5m, period pi/3.
Then collides with Q mass 0.2kg at the equilllibrium position and coalesces to form R.

d)Show that R also moves with simple harmonic motion and find the amplitude of this motion [7].

I believe the amplitude is about 1.1m as used the formula that w=va and w^2=(lamda)/lm.

Thanks.

Is it oscilatting up and down or like a pendulum??

Last edited by rbnphlp : 31-05-2009 at 16:22.

Old 31-05-2009: 31st May 2009 17:29 #3 
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Default Re: Edexcel M3 Revision May 2004 Q7d
 
Oh sorry, its on a table so horizontally.
 
Old 01-06-2009: 1st June 2009 07:35 #4 
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Default Re: Edexcel M3 Revision May 2004 Q7d
 
 
Old 01-06-2009: 1st June 2009 08:05 #5 
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Default Re: Edexcel M3 Revision May 2004 Q7d
 
Yep I think that's right - I got 1.16m , or to be more precise \frac{3\sqrt{15}}{10} m according to my good ol' calculator.
Old 01-06-2009: 1st June 2009 11:24 #6 
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Default Re: Edexcel M3 Revision May 2004 Q7d
 
Originally Posted by meatball893
Yep I think that's right - I got 1.16m , or to be more precise \frac{3\sqrt{15}}{10} m according to my good ol' calculator.

Yes, I can see where to get the numerical answer from but how to prove that it still moves with SHM?
 
Old 01-06-2009: 1st June 2009 11:40 #7 
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Default Re: Edexcel M3 Revision May 2004 Q7d
 
Originally Posted by jackbourne
Oh sorry, its on a table so horizontally.
soory and is the table rough or smooth??

Last edited by rbnphlp : 01-06-2009 at 11:50.

Old 01-06-2009: 1st June 2009 13:19 #8 
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Default Re: Edexcel M3 Revision May 2004 Q7d
 
Not sure if the table is smooth or not, but either way, use the equation F=m\ddot x and rearrange to show that it is in the form of \ddot x =-\omega^2 x .
Spoiler:
 
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