Can You Help Solve This Physics Equation Transformation?

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The discussion centers on solving a physics equation transformation involving angular momentum. The user seeks assistance in proving a relationship between two equations, specifically moving from the second equation back to the first. Participants suggest writing out the vectors in component form and taking the cross product to demonstrate the equivalence. Clarification is provided that the second equation represents the definition of angular momentum. The conversation emphasizes the importance of understanding vector components and definitions in physics.
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Friends, I turn to you so that you can please help me. I need to prove the following:


please help me ...=(
thanks!
 

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What have you tried so far?
 
Feldoh said:
What have you tried so far?

I have to get from the first ecuation to the second ecuation and i don't know how
 
Pentagram said:
I have to get from the first ecuation to the second ecuation and i don't know how

You mean get from the second equation to the first equation? The second equation is the definition of angular momentum.

Anyway, try writing out the vectors r and p in component form and taking the cross product. Then use the definitions of I and omega to show both expressions are the same.
 
nicksauce said:
you Mean Get From The Second Equation To The First Equation?

Yes!
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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