Undergrad Calculating Mass Inertia Product - Examples 1 & 2

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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.
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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
 
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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 'Mousetrap Car Energy efficiency'

For simple comparison, I think the same thought process can be followed as a block slides down a hill, - for block down hill, simple starting PE of mgh to final max KE 0.5mv^2 - comparing PE1 to max KE2 would result in finding the work friction did through the process. efficiency is just 100*KE2/PE1. If a mousetrap car travels along a flat surface, a starting PE of 0.5 k th^2 can be measured and maximum velocity of the car can also be measured. If energy efficiency is defined by...
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