I Calculating Mass Inertia Product - Examples 1 & 2

AI Thread Summary
The mass inertia product is calculated by considering the shape and orientation of the object in question. In the provided examples, different methods are used to determine the moments and product of inertia for a cylinder. The discussion emphasizes the importance of accurately identifying the geometry and alignment of the object to ensure correct calculations. Clarity on these factors is crucial for achieving precise results in mass inertia product calculations. Understanding these principles is essential for applications in physics and engineering.
Guillem_dlc
Messages
188
Reaction score
17
TL;DR Summary
How is the mass inertia product calculated? I have two examples and each one uses something different.
How is the mass inertia product calculated? I have two examples and each one uses something different.

Example 1:
1.png


Example 2: moments and product of inertia of the cylinder
2.png
 
Physics news on Phys.org
What is the shape and orientation of Example 1?
 
scottdave said:
What is the shape and orientation of Example 1?
That's it, I got it, thank you!
 

Thread '1:1 versus 2:1 Mechanical Advantage debate'

The rope is tied into the person (the load of 200 pounds) and the rope goes up from the person to a fixed pulley and back down to his hands. He hauls the rope to suspend himself in the air. What is the mechanical advantage of the system? The person will indeed only have to lift half of his body weight (roughly 100 pounds) because he now lessened the load by that same amount. This APPEARS to be a 2:1 because he can hold himself with half the force, but my question is: is that mechanical...
View full post »

Thread 'Newton's first law?'

Some physics textbook writer told me that Newton's first law applies only on bodies that feel no interactions at all. He said that if a body is on rest or moves in constant velocity, there is no external force acting on it. But I have heard another form of the law that says the net force acting on a body must be zero. This means there is interactions involved after all. So which one is correct?
View full post »
Thread 'Beam on an inclined plane'

Thread 'Beam on an inclined plane'

Hello! I have a question regarding a beam on an inclined plane. I was considering a beam resting on two supports attached to an inclined plane. I was almost sure that the lower support must be more loaded. My imagination about this problem is shown in the picture below. Here is how I wrote the condition of equilibrium forces: $$ \begin{cases} F_{g\parallel}=F_{t1}+F_{t2}, \\ F_{g\perp}=F_{r1}+F_{r2} \end{cases}. $$ On the other hand...
View full post »

Similar threads

I Moment of inertia of human body with limbs at an angle
Replies
12
Views
2K
I Resolve moment of inertia at an angle
Replies
2
Views
2K
Moment of inertia where mass and torque are at a different positions
2
Replies
69
Views
5K
I Explanation of parallel axis theorem
Replies
2
Views
1K
Toy Problem to Understand Products of Inertia?
Replies
3
Views
2K
How can I calculate the moment of inertia of any object?
Replies
10
Views
2K
I Effects of External Torques on the Angular Momentum of Asymmetric Bodies
Replies
3
Views
1K
I Inertia of body moving about two distinct parallel axes
Replies
10
Views
2K
I Counter-rotating mass to counteract inertial spin
Replies
10
Views
2K
Why Do Different Objects Share Similar Moments of Inertia?
Replies
1
Views
1K

Hot Threads

Recent Insights

Back
Top