Standing Waves on a String: True or False?

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Standing waves can indeed form on a horizontally stretched string when plucked vertically, creating transverse waves. The highest resonant frequency is referred to as the fundamental frequency, and each end of the string must be a node. However, the middle of the string can actually be an antinode, contradicting the claim that it can never be one. It is also possible for half a wavelength to fit the length of the string. Further clarification on the answers is needed to identify any inaccuracies.
BMWPower06
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Homework Statement


A string of length L is stretched horizontally between two fixed points. When the string is plucked vertically, standing waves can be formed on the string. Which of the following statements are true about this situation?
True False The waves on the string are transverse waves
True False The highest resonant frequency is called the fundamental
True False Each end of the string must be a node
True False The middle of the string can never be a node or an antinode
True False It is possible for half a wavelength to fill the length of the string



The Attempt at a Solution



Answers are in bold, from reading through the chapter in my book i was able to come up with those answers, now the website says I am wrong but it doesn't tell me which one is wrong. Can any1 maybe help lead me in the right direction?

Thanks
 
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Why don't you give your reasons for your answers.
 
Thread moved from Advanced Physics to Intro Physics. BMW, I think you have an 80% so far. As Doc Al says, can you say a few words about each of your answers? Then we can help you try to get to 100%.
 
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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