Finding Mass without using any scale

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Homework Help Overview

The problem involves determining the mass of a meterstick without using a scale, utilizing a fulcrum, known masses, weight hangers, string, tape, and a stopwatch. Participants are exploring methods to achieve this measurement through balancing techniques and other creative approaches.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss using a fulcrum and string to balance the meterstick against known weights, questioning the necessity of using four weight hangers instead of two. Some suggest attaching the meterstick off-center to find mass through balancing, while others propose using vibrations to measure mass indirectly.

Discussion Status

The discussion is active with various methods being proposed, and participants are questioning the assumptions behind the problem setup. Some guidance has been offered regarding potential methods, but no consensus has been reached on a single approach.

Contextual Notes

Participants note the ambiguity in the problem's requirements, particularly regarding the number of weight hangers allowed and the implications of the setup. There is an acknowledgment of the potential for overcomplication in the problem statement.

JenniferBlanco
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Hi,I had this problem which I cannot answer. I would appreciate if someone could help me out.

Here's the problem -

Homework Statement



In the labaratory,you are asked to determine the mass of a meterstick without using a scale of any kind. In addition to the meterstick you may use :

  • Set of known masses
  • a fulcrum upon which the meterstick can be mounted and pivoted
  • four weight hangers
  • string
  • tape
  • stopwatch

1.Briefly list the steps in your procedure that will lead you to the mass of the meterstick.

2.Show calcualtions you would perform to find the mass of a meterstick.

_____________________________________

Would we use the fulcrum and tie it up with the string and the meterstick? on the other side,hang one of the weight hangers and start putting in the masses and wait till the thing stablizes?

Jen
 
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JenniferBlanco said:
Would we use the fulcrum and tie it up with the string and the meterstick? on the other side,hang one of the weight hangers and start putting in the masses and wait till the thing stablizes?
Sounds good to me. I'm sure you'll include more detail in your write up, such as measuring the points where you place the fulcrum and the weights etc.
 
just wondering but why does the question say we can use upto 4 weight hangers? what's with 4? Arent 2 fine with any kind of experiment?
 
JenniferBlanco said:
just wondering but why does the question say we can use upto 4 weight hangers? what's with 4? Arent 2 fine with any kind of experiment?
I'm sure the whoever set the question had some sort of experiment in mind that neither of us could imagine; but your method is a valid solution to the problem set.
 
JenniferBlanco said:
Would we use the fulcrum and tie it up with the string and the meterstick? on the other side,hang one of the weight hangers and start putting in the masses and wait till the thing stablizes?

Jen

I'm not sure that fits the conditions. You said "a fulcrum upon which the meterstick can be mounted and pivoted" but it sounds like you are using the string to hang the meterstick on one side and the masses on the other.

Perhaps better: attach the meterstick to the fulcrum not at the center. Hang masses on the short end to balance. That will allow you to find the difference in mass of the two ends and, since you know their lengths, the density of the meterstick and so its mass.

Another way, if this is a metal meterstick is to attach one end firmly to the wall so the meterstick extends horizontally, give the free end a good "whack" and use the stop watch to time its vibrations.
 
Teachers often give more than required to make students think something is harder than it really is. The more detail there is, the harder it seems.

Some friends in the grade above me told me of a test question where they give you lots of details on a mound of dirt. They gave the mass, the dimensions, even the color, and the question was how deep in the hole. The vast majority assumed the dirt was digged out from the hole and they had to deduce the answer. Of course, they couldn't, so most gave guessed. Only 7 people said there was no hole. :D
 

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