Standing Waves on a String, Fundamental Frequency, Harmonics, Overtones, Nodes, Antinodes, Physics

[@TheOrganicChemistryTutor]

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13:41 A standing wave has 5 loops. How many nodes and antinodes are present? 14:46 The fundamental frequency of a certain standing wave is 175 Hz. Calculate the first 4 harmonics. 16:12 The 7th Harmonic of a standing wave is 280 Hz. What is the frequency of the 4th and 9th Harmonic? 17:35 A 2 meter string produces a standing wave with 3 loops. a) What is the standing wavelength? 18:56 b) What is the frequency if the speed of the wave is 45 m/s? 20:00 c) What is the wavelength and speed of the first harmonic? 22:37 The wavelength of a standing wave with one loop is 12 meters. Find the wavelength of the first five harmonics. 23:38 The wavelength of 5th harmonic is 1.8 meters. Calculate the wavelength of the 9th harmonic. 24:56 A standing wave with a speed of 30 m/s and five loops has a frequency of 250 Hz. a) What is the length of the string in centimeters 27:19 b) If the string has a mass of 40 g, what tension force is required to produce such a wave? 29:56 A tension force of 300N was applied to a 0.75kg string that is 5 meters long. A standing wave with 5 loops was produced. Calculate the: a) speed 31:44 b) wavelength 32:58 c) frequency d) fundamental frequency and the first three overtones 36:38 The frequency of the 4th harmonic is 300 Hz and the wavelength of the 2nd harmonic is 2.3 meters. What is the speed of the wave?

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4:45 Note that: L=nλn/2 i.e. λn=2l/n(1). v=λf i.e. λ=v/f(2). From equations 1 and 2, v/f=2l/n i.e. f=nv/2l. When n=1, the frequency is said to be fundamental.

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2:10 - wavelength and L association 4:00 - harmonic frequencies 11:30 - 6 main equations

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25:33 If I use fn = (vn)/(2L), I've got different answer. Could anyone please tell me why?

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[@AnhNguyen-nh2jp]

Hi, @23:08 the questions stated that standing wave only has one loop. How can you have multiples wavelength with just one loop? I thought one loop= 1 wavelength.

[@bibnook9916]

You could just multiply 2.3 x 2 then divide by 4 to get both with the same n value then multiply the 1.15 by 300. I found that to be easier.

[@Zykroh]

28:16 Why multiply the right side only with L? Why not multiply the before = and after = because that would make sense to me. I’m confused. Edit: and why multiply by L in the first place?

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18:40 how did you know that the wavelength is the third harmonic?

[@renae9450]

Because if u look at the diagram there are 3 standing waves that mean the subscript you will be dealing with in that question is 3

[@Zykroh]

20:00 How did you get f3?

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[@thefamilybennett8688]

Hey, I'm slightly confused on how you calculated the wavelengths at 23:00. I was under the impression that wavelength = 2L/n, so can you walk me through this one please? Thx

[@TeamArrow-l4f]

The FamilyBennett you will get the same answer wavelength = 2L/n , L=2 and n=1 so wavelength = 2 Times 2 /1 = 4m

[@Zykroh]

@@TeamArrow-l4f I’m 3 years late but isn’t L = 12m? From where did you get the 2?

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Question; Nods represent the displacement to an anti nod... In space as a energy is transimited or Non tansit. Can we infer that the Nodes is the missing dark matter & energy we have been seeking...?

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Wonderful indeed. But, please I would like to ask, is it a must to use it the 7th harmonic, to find the first?.

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[@IamKudos]

can someone tell me in 21:05 lambda(n) = lambda(1)/n but in the next line its lambda(1) = nlambda(n)? parenthesis represent subscripts

[@Ahmed-sa99]

22:37 answer is not correct because I f I use the formula that states that the wavelength is equal to 2L/n and plug in 12 for L and 5 for n it will come out as 4.8(plugged in 5 for n cause he said the fifth harmonic ) am I correct or I am just dumb

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Hey I wrote 4/3 as a whole decimal number so I got 67.5 do you think I would still get it right in the exam?

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[@Zykroh]

12:50 You claimed that antinodes are counted at *maximum* displacements and *minimum* displacements. 14:34 You didn’t count the *minimum* displacements but just counted the *maximum* ones. Was this a mistake or am I missing something?

[@lakshay-musicalscientist2144]

Count the anti nodes or nodes

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[@Hiepsi_24k]

Dear Sir If we have displacement U(x,t,wn,n) with defined parameter, how we can estimate the frequency response? (With x: position, t: time, wn: in your video is c*n*pi/L, n is harmonic number) In frequency response, i want to find and compare the magnitude of displacement with resonance frequency!

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[@pillgrim9913]

What does 'n' and 'L' represent? I have been following velocity (wave speed m/s), frequency (Hz) and lambda (wavelength), so I'm a bit confused.​

[@ruthsatoro3821]

n is the number of loops or harmonics and L is the length of the string

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I have the following problem could you please help me to solve it? 3. A spring and mass system with a mass of 2.5 kg is observed to have a frequency of 5.5 Hz. What is the stiffness constant of the spring?

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Can someone explain why there are different types of standing waves created whenever you pluck a string?

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