Find Moment of Inertia of Rod w/ Finite Masses | Sleek

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Homework Help Overview

The problem involves calculating the moment of inertia of a rod with two point masses attached at its ends. The rod's length is specified as 0.5 meters, and the masses are each 20 grams. The original poster is tasked with finding the moment of inertia about an axis at one end of the rod, while neglecting the rod's own moment of inertia.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the moment of inertia using the formula I = M*R^2, but questions the validity of their result compared to a provided answer. Some participants question the accuracy of the given data and suggest potential errors in the textbook.

Discussion Status

The discussion reflects uncertainty regarding the correctness of the original poster's calculations versus the textbook answer. Some participants express confidence in the original poster's approach, while others suggest consulting a professor for clarification. Multiple interpretations of the problem's data are being explored.

Contextual Notes

The original poster mentions that there are two sub-questions in the assignment, and they believe there may be printing mistakes in the textbook. This context indicates potential discrepancies in the problem setup.

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Homework Statement


There is a rod of length 0.5m, to the ends of which two finite point masses of 20g each (0.02 kg) each are attached. Find the moment of inertia along the axis passing through one end of the rod, neglecting the moment of inertia of the rod itself.


Homework Equations


I=M*R^2


The Attempt at a Solution



Since the Axis passes through one end, the moment of inertia is,

I = 0.02*(0.5)^2+0.02*(0)^2
= 0.02* 0.25 = 0.005
= 5*10^(-3)

But the answer given is twice the answer I've found (i.e. 10^(-2) ). In many similar questions, the answer is always twice what I get. Am I wrong or the answer printed is wrong?

Thanks,
Sleek.
 
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Are you sure the rod is 0.5m in your question? Your answer seems right to me.
 
Yes, the rod is 0.5m. The question has two sub-questions (the one I pointed above is the second), and the answer from the first one matches what's given in the book. So the datas are correct.

I'm confident that there have been some printing mistakes in the book (there are many, but mistakes in ClassWork problems are always rectified while solving them, HomeWork can be a problem.

Thanks for the reply!

Regards,
Sleek.
 
no prob. talk to your professor about this if you can.
 

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