# Intepretation of question only

• negation
In summary, the conversation discusses the problem of finding the rotational inertia of an equilateral triangle with three equal masses located at the vertices connected by rods of negligible mass. The first part of the problem asks for the rotational inertia about an axis through the center of the triangle and perpendicular to its plane, while the second part asks for the rotational inertia about an axis that passes through one vertex and the midpoint of the opposite side. The participants in the conversation discuss the interpretation of the second part and come to the conclusion that the axis must lie in the same plane as the triangle, not perpendicular to it. The conversation concludes with the solution being found using this interpretation.
negation

## Homework Statement

Three equal masses m are located at the vertices of an equilateral triangle of side L, connected by rods of negligible mass. Find expressions for the rotational inertia of this object (a) about an axis through the center of the triangle and perpendicular to its plane and (b) about an axis that passes through one vertex and the midpoint of the opposite side.

## The Attempt at a Solution

I'm facing only issue with intepreting part(b). What does it mean for an axis that passes through one vertex and midpoint of the opposite side? How can it both be 2 place at once?

negation said:
I'm facing only issue with intepreting part(b). What does it mean for an axis that passes through one vertex and midpoint of the opposite side? How can it both be 2 place at once?

It means the axis lies in the same plane than is formed by the three masses, not perpendicular to said plane.

1 person
SteamKing said:
It means the axis lies in the same plane than is formed by the three masses, not perpendicular to said plane.

That would mean the axis cuts the vertice and the opposite length L at the midpoint. This is understandable. But isn't the question asking for the axis to be perpendicular to the plane in part(A)? For (B), isn't it asking for the axis to be perpendicular to the plane and yet cut one vertice while simultaneously cutting the midpoint of the length opposite to the vertice?
Just wondering how it's possible for the axis to be a normal to the xy plane while at the same time being superimposed on the xy plane..

In three dimensions, you can have up to three mutually perpendicular axes of rotation. While Part a) clearly specifies that the axis of rotation passes thru the center of the triangle and is perpendicular to the plane of the three masses, Part b) specifies the axis which passes thru one vertex AND the midpoint of the opposite side of the triangle. I know no geometry which allows both of these conditions in Part b) to be satisfied while the axis is simultaneously oriented perpendicular to the plane of the masses.

SteamKing said:
In three dimensions, you can have up to three mutually perpendicular axes of rotation. While Part a) clearly specifies that the axis of rotation passes thru the center of the triangle and is perpendicular to the plane of the three masses, Part b) specifies the axis which passes thru one vertex AND the midpoint of the opposite side of the triangle. I know no geometry which allows both of these conditions in Part b) to be satisfied while the axis is simultaneously oriented perpendicular to the plane of the masses.

Going by your intepretation, I managed to solve the problem. Thanks

## 1. What is the importance of interpreting a question only?

Interpreting a question only allows for a clear understanding of the question being asked, which is crucial for accurate research and experiments. It also helps avoid bias and assumptions in the interpretation.

## 2. How can we ensure the interpretation of a question only is unbiased?

One way to ensure an unbiased interpretation is by using a standardized method, such as the Socratic Method, where the researcher asks questions to clarify and understand the question without adding their own assumptions or biases.

## 3. What are some common mistakes in interpreting a question only?

Some common mistakes include adding personal opinions or assumptions, misinterpreting the context of the question, and not considering the perspective of the question asker.

## 4. How can we improve our skills in interpreting a question only?

Improving critical thinking skills and actively listening to the question asker are key in interpreting a question only. It is also helpful to practice using different methods, such as paraphrasing and asking clarifying questions.

## 5. Can the interpretation of a question only change throughout the research process?

Yes, the interpretation of a question only can change as new information and data are discovered during the research process. It is important to constantly re-evaluate and adjust the interpretation to ensure accuracy.

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