What is the relationship between magnetic fields and wires?

AI Thread Summary
The discussion revolves around understanding the relationship between magnetic fields and wires, particularly in the context of a homework problem involving forces on a wire. Participants suggest using free body diagrams (FBD) to analyze the forces acting on the wire in different scenarios, specifically when it is about to slip down or up a plane. The initial poster has completed part A of the assignment but is uncertain about how to approach parts B and C. The conversation emphasizes the importance of visualizing forces to solve the problem effectively. Overall, the thread highlights the application of physics concepts to understand wire behavior in magnetic fields.
jmiller5001
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Homework Statement



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Homework Equations



Fb= IL X B ?

The Attempt at a Solution



I did part A already.

Not really sure where to start on B or C.
 
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welcome to pf!

hi jmiller5001! welcome to pf! :smile:

for (b), do a free body diagram for when the wire is just about to slip down the plane

for (c), do a free body diagram for when the wire is just about to slip up the plane :wink:
 
Okay, I don't really know where that gets me though.
 
well, what does your fbd look like? :smile:
 
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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