How do I find the mass of an object without k?

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Homework Help Overview

The discussion revolves around finding the mass of an object using the period of oscillation and displacement in the context of Hooke's Law and spring constants. Participants are exploring the relationships between mass, spring constant, and displacement in a physics problem involving oscillatory motion.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants attempt to rearrange formulas related to Hooke's Law and the period of oscillation but express difficulty due to missing values for mass and spring constant. Questions arise about the compatibility of given displacement and period values, and whether the spring constant derived from one mass can be applied to others.

Discussion Status

The discussion is active, with participants questioning the compatibility of the provided data and exploring the implications of using the spring constant derived from the 100g mass for other objects. Some guidance has been offered regarding the use of known values to find the spring constant, but clarity on the overall setup remains a topic of exploration.

Contextual Notes

There is uncertainty regarding the specific values of displacement and period associated with different masses, and participants are trying to clarify which measurements correspond to which objects. The original poster's understanding of the relationships between force, mass, and displacement is also being examined.

swueettea
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Homework Statement
determine the mass of the pink and blue objects by using Hooke's Law and by period.
Relevant Equations
T=2π( √m/k)
F=kx
CaptureD.PNG

time/#periods=T= 30.58/10= 3.058
Displacement=.6m
T=3.058

I tried to rearrange hooke's formula to k=f/x but f=mg and I don't have mass.
Using the period formula is also hard because T=2π( √m/k) and I have neither m or k :/
Please help thanks.
 

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Do you have information about that yellow ##100g## mass?
 
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PeroK said:
Do you have information about that yellow ##100g## mass?
omg wait I didn't think about the 100g thank you. The displacement is 25cm(.25m) and F is 1N so the K=4N/m right? And that's the K I would use for the other masses?
 
swueettea said:
omg wait I didn't think about the 100g thank you. The displacement is 25cm(.25m) and F is 1N so the K=4N/m right? And that's the K I would use for the other masses?
The given displacement and period are not compatible. Is the displacement for the larger mass and the period for the smaller mass?
 
PeroK said:
The given displacement and period are not compatible. Is the displacement for the larger mass and the period for the smaller mass?
The period and the displacement in the post problem is for the pink object but wouldn't the spring constant I found for the 100g object work for all of them? the information I used to find the spring constant I got from the 100g object (the .25m and 1N).
 
swueettea said:
The period and the displacement in the post problem is for the pink object but wouldn't the spring constant I found for the 100g object work for all of them? the information I used to find the spring constant I got from the 100g object (the .25m and 1N).
It's not clear from the diagram what information you have. If you have either the displacement or the period for a known mass, then you can get the spring constant.
 
is this clearer?
Captureg.PNG

But how could I find the spring constant with just the displacement or period if k=f/x and f=mg?
 
PeroK said:
It's not clear from the diagram what information you have. If you have either the displacement or the period for a known mass, then you can get the spring constant.
is this clearer?
View attachment 258807
But how could I find the spring constant with just the displacement or period if k=f/x and f=mg?
 
swueettea said:
is this clearer?
View attachment 258807
But how could I find the spring constant with just the displacement or period if k=f/x and f=mg?
Why can't you get the spring constant from the 100g mass?
 
  • #10
PeroK said:
Why can't you get the spring constant from the 100g mass?
Then it'd be 4N/m since 1N/.25m=4N/m right? And I can use that for the pink and blue masses too? Sorry I thought you meant that it was wrong earlier when I had said it so I got really confused.
 
  • #11
swueettea said:
Then it'd be 4N/m since 1N/.25m=4N/m right? And I can use that for the pink and blue masses too? Sorry I thought you meant that it was wrong earlier when I had said it so I got really confused.
I assume that's the idea.
 
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  • #12
PeroK said:
I assume that's the idea.
Okay thank you so much for helping me!
 

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