Help finding mass moment of inertia

In summary, the conversation discusses finding the moment of inertia for a plate with holes by using point E as the reference and considering the additive property of moment of inertia. The participants also mention using known distances and masses, and ask for help with the problem.
  • #1
master117
3
0
It must be for any value of the distances (work with letters only), Every distance is known, mass is also known I just can't figure out how to do it if anyone can help me I would really apreciate it. Take also in consideration that we must use point E as the reference

Here is the image, in case you can't see it, is also attached
29aqp78.jpg
 

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  • #2
welcome to pf!

hi master117! welcome to pf! :smile:

moment of inertia is additive, so find the moment of inertia of two pieces of the same material, with the shape of the holes, then subtract that from the moment of inertia of the plate as if it had no holes :wink:
 

FAQ: Help finding mass moment of inertia

What is mass moment of inertia and why is it important?

Mass moment of inertia is a measure of an object's resistance to changes in its rotational motion. It is important because it helps determine how much torque is required to make an object rotate, and it also affects an object's stability and ability to maintain its motion.

How is mass moment of inertia calculated?

Mass moment of inertia is calculated by multiplying the mass of an object by the square of its distance from the axis of rotation. The formula is I = mr^2, where I is the moment of inertia, m is the mass, and r is the distance from the axis of rotation.

What are the units for mass moment of inertia?

The units for mass moment of inertia are kilograms times meters squared (kg*m^2) in the SI system and slug times feet squared (slug*ft^2) in the English system.

How does the mass distribution of an object affect its moment of inertia?

The mass distribution of an object affects its moment of inertia because the farther the mass is from the axis of rotation, the larger the moment of inertia will be. An object with more of its mass concentrated closer to the axis of rotation will have a smaller moment of inertia compared to an object with the same mass but with the mass distributed farther from the axis of rotation.

Can mass moment of inertia be negative?

No, mass moment of inertia cannot be negative. It is always a positive value, as it is a measure of an object's resistance to changes in its rotational motion. A negative value would indicate that the object is easier to rotate, which is physically impossible.

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