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Finding mass of spring from time period.

 
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Jan27-13, 06:28 AM   #1
 

Finding mass of spring from time period.


As the title suggests, there is a practical in which we have to find mass of the spring (m*) having a block of mass M attached to bottom, from GRAPH of time period (T)^2 against M.
Here's what the practical handbook says:
T^2= [16{(pi)^2}(R^3)N][M+(m*/3)] / [(r^4)n]
there is no reference to what is N,n,R,r
What they do next is to plug in T=0
therefore, M+(m*/3)=0
=> m*/3=-M
Considering magnitude, m*=3(x intercept)

The last part makes some sense but, where does the formula come from?

Thank you! (Sorry for being messy)
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Jan27-13, 07:01 AM   #2
 
the formula will come when you will consider kinetic energy of spring(it has mass).see here
http://en.wikipedia.org/wiki/Effecti...93mass_system)
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