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Mass Oscillation on a massive spring Problem

  • Thread starter rshalloo
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Homework Statement


Given a spring of unknown mass, weights of known masses and a stopwatch calculate the mass of the spring


Homework Equations


T=[tex]\frac{2\pi}{\omega}[/tex]

[tex]\omega[/tex]=[tex]\sqrt{\frac{k}{M+m}}[/tex]....where M= mass of spring and m=mass of added weight

The Attempt at a Solution



From above equations its clear that 1/w^2=(M+m)/k

this is similar to the equation of a line y=mx+c
1/w^2=m/k +M/k

For the whole experiment M/k is constant
therefore a graph of the function
1/w^2=m/k +M/k
would have the same slope (1/k) as a graph of the function 1/w^2=m/k

Thus giving you k.
from this we can find M by subbing in one set of values of w, m,k


This is very far reaching (in my opinion) so im just wondering wheter that would work? Especially the bit about slope of y=ax being equal to slope of y=ax+c

Homework Statement





Homework Equations





The Attempt at a Solution

 

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