Calculators Using TI-89 Plus or computer-based packages to get the moment of inertia

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To calculate the moment of inertia for a cylinder, cone, and sphere using a TI-89 calculator or computer software, users can utilize integration to derive the necessary formulas. The integral of r^2 dm is essential for this process, where r represents the radius and dm is the mass element. For those unfamiliar with the integration process, it is suggested to search online for existing formulas instead of deriving them from scratch. Resources like the Wolfram ScienceWorld website provide the relevant formulas for these shapes, which can be directly implemented into programs or calculators.
vInCEE-j
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can anyone suggest ways on how to calculate the moment of inertia using:
1) graphics calculator [TI-89 plus] and/or
2) any computer-based packages
for a cylinder, cone and sphere?
I believe that a program can be created in my graphics but i don't seem know how to create such a complicated one. if anyone can suggest steps, even if simple, please do so.
thanks
 
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Since they are regular and symmetrical objects, you could just integrate and obtain the formula and put the formula in the computer program.
\int r^2 dm
 
First, what does "you could just integreate and obtain the formula" mean? do i intergrate the volume of it or what?

second, is it possible to calculate the moment of inertia using Ti-89 or any computer program from scracth without me integrating it and putting the formula in the computer program? Is there a way where i can just simply type in (eg. r or h)?
 
vInCEE-j said:
First, what does "you could just integreate and obtain the formula" mean? do i intergrate the volume of it or what?
second, is it possible to calculate the moment of inertia using Ti-89 or any computer program from scracth without me integrating it and putting the formula in the computer program? Is there a way where i can just simply type in (eg. r or h)?

So basically you are asking "How do I get the formulas without knowing anything at all about moment of inertia"- and the answer is: use "google".

The formulas are given about halfway down this page:
http://scienceworld.wolfram.com/physics/MomentofInertia.html
 
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