Rotational Energy and Kinetic Energy

AI Thread Summary
The discussion revolves around a homework question from Monash University related to rotational and kinetic energy, specifically focusing on part b of the problem using energy conservation equations. The original poster expresses confusion about how to apply these equations to find the answer. There is a mention of the Lagrangian method, but the poster is unfamiliar with it and seeks assistance. The lack of responses highlights a need for clearer guidance on the topic. Overall, the conversation emphasizes the challenges of understanding energy conservation in rotational dynamics.
madhuparc2004
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Homework Statement


[PLAIN]http://img189.imageshack.us/img189/5994/energyq.png


Homework Equations



This is a question by Monash University...i need to do part b by Energy conservation equations...but i don;t get the answer from that..
pleasez tell me how to do part b by Energy conservation equations...
thank u

The Attempt at a Solution

 
Last edited by a moderator:
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Do you know how to set up a Lagrangian?
 
Mindscrape said:
Do you know how to set up a Lagrangian?

no whts that?
 
y is no body helping me?
 
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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