Where can I start learning about moments of inertia?

AI Thread Summary
To learn about moments of inertia, starting with a basic university physics textbook is recommended, as it covers foundational concepts. Calculating the moment of inertia for complex mechanisms like propellers is typically avoided unless detailed numerical descriptions are available. Instead, experimental methods, such as using a pendulum or measuring rotational response to known forces, are often employed. For beginners, simplifying the problem by modeling components as basic shapes can facilitate understanding. Engaging with these resources and methods will provide a solid foundation in moments of inertia.
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Homework Statement


My question doesn't follow the guidelines for asking for homework help because I'm looking for sources where I can learn about moments of inertia, not help for a specific homework problem. I'm going to try to figure out the moment of inertia of a propeller, but I don't know enough about moments if inertia yet. Where can I learn about this? Thanks for any help!

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Any basic university physics textbook would help you, I guess...
 
Last edited:
vinicius0197 said:
Any basic universitary physics textbook would help you, I guess...
I'm not sure what a 'universitary' physics textbook is, but figuring out the moment on inertia of a complex mechanism, like a propeller, by calculation is generally avoided, unless there is already a numerical description of the blades, hub, etc. Most complex mechanisms have their moments of inertia determined experimentally, either by mounting the mechanism in a special pendulum and swinging it, or having it rotated by a known moment and measuring how long it takes to start or stop rotating.
 
SteamKing said:
I'm not sure what a 'universitary' physics textbook is, but figuring out the moment on inertia of a complex mechanism, like a propeller, by calculation is generally avoided, unless there is already a numerical description of the blades, hub, etc. Most complex mechanisms have their moments of inertia determined experimentally, either by mounting the mechanism in a special pendulum and swinging it, or having it rotated by a known moment and measuring how long it takes to start or stop rotating.
Sorry, I meant an 'university' physics texbook...
The OP said he wanted to start learning about moments of inertia. If you have no knowledge in this area yet, I think the best route would be learning some basics in the subject.
But what is your objective in determining the moment of inertia of a propeller? It's a project, a homework? If it's a homework, maybe you could simplify your problem. I've seen some problems that ask you to determine the moment of inertia of rotor blades by simplifying them as rods rotated at the end or maybe as rectangular planes.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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