Moment of Intertia for changing COG

In summary, the conversation discusses creating a closed form solution to determine the location of the center of gravity of a 3d object with a movable tail. The issue at hand is finding a way to express the moment of inertia about the vertical axis as a function of the center of gravity location. It is suggested to find the inertia of the tail about the vertical axis as a function of angle, and relate the angle to the change in center of gravity. However, this may be a complex calculation if the tail is not a simple shape.
  • #1
r00bin
1
0
Hi all,

I've got a 3d object modeled in Pro/Engineer with a tail. The tail can change position to some angle theta with respect to the ground.

I have created a closed form solution to determine the location of the center of gravity at any angle theta.

The problem is with the moment of inertia. From Pro/Engineer, I can numerically determine the moment of inertia about the vertical axis at the center of gravity.

Is there anyway to express the moment of inertia about the vertical axis as a function of the center of gravity location?

Thanks!
 
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  • #2
Yes. The inertia of the body (without tail) is fixed. Then all you need to do is find out the inertia of the tail about the vertical axis as a function of angle. You can easily relate the angle to the change in CG.

Won't be a trivial calculation unless the tail is some sort of elementary shape.
 

1. What is Moment of Inertia for changing COG?

Moment of Inertia for changing COG (center of gravity) is a measure of an object's resistance to changes in its rotational motion about its center of mass. This means that it is a property of an object that determines how difficult it is to change its rotation.

2. How is Moment of Inertia for changing COG calculated?

The Moment of Inertia for changing COG is calculated by multiplying the mass of an object by the square of its distance from the axis of rotation. It is represented by the symbol I and has units of kg•m².

3. Why is Moment of Inertia for changing COG important?

Moment of Inertia for changing COG is important because it helps us understand and predict an object's rotational behavior. It is used in various fields like physics, engineering, and sports to determine the stability, strength, and performance of rotating objects.

4. How does Moment of Inertia for changing COG affect an object's movement?

The Moment of Inertia for changing COG affects an object's movement by determining its resistance to rotational changes. Objects with a higher Moment of Inertia will require more force to change their rotational motion, while objects with a lower Moment of Inertia will be easier to rotate.

5. Can the Moment of Inertia for changing COG be changed?

Yes, the Moment of Inertia for changing COG can be changed by altering the mass distribution of an object. For example, by increasing the mass towards the axis of rotation, the Moment of Inertia will decrease, making it easier to rotate the object. This is often seen in sports equipment like golf clubs, where the weight is strategically distributed to improve performance.

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