What is the Fundamental Frequency in Question 6?

AI Thread Summary
The discussion revolves around determining the fundamental frequency for a physics homework problem involving two strings with different tensions and lengths. The given values include tensions of 250N and 160N, lengths of 45cm and 56cm, and a known frequency of 450Hz for the first string. Participants suggest reviewing relevant equations that connect tension and linear mass density to find the unknown frequency for the second string. The original poster expresses confusion and seeks guidance on how to approach the problem. Understanding the relationship between tension, length, and frequency is crucial for solving the question.
McKeavey
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Homework Statement


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Question number 6

Homework Equations


Not sure..I'm fresh on physics at the moment.. :(


The Attempt at a Solution


Givens
T1 = 250N
T2 = 160N
L1 = 45cm
L2 = 56cm
f1 = 450Hz
f2 = ?

I'm pretty clueless at the moment.. :(
 

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Here's a hint to get you started: check your references (textbook, notes, whatever you are working from) for an equation that involves tension and linear mass density.
 
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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