How to determine the spring constant

If we hang a mass from a spring and measure its stretch, how can we determine the spring constant?
HW K 10 14

Пікірлер: 212

  • @notPenney
    @notPenney4 жыл бұрын

    I’m just amazed that this dude can write backwards so well

  • @bread7680

    @bread7680

    4 жыл бұрын

    @Akshath bruh

  • @edwardhuang445

    @edwardhuang445

    4 жыл бұрын

    i think he writes normally, and then flip the video over, so we can read it.

  • @brendanliegey9258

    @brendanliegey9258

    3 жыл бұрын

    Edward Huang I have been studying physics for about 3 years now and I guarantee you I would have never guessed that

  • @kirby5780

    @kirby5780

    3 жыл бұрын

    @Akshath no shit sherlock

  • @mathophile1912

    @mathophile1912

    2 жыл бұрын

    This is a glass table.. Camera put opposite to him

  • @lvlikeyV
    @lvlikeyV Жыл бұрын

    I took physics for engineers in college and it was one of hardest class I've ever taken. Out in the real-world now, we're having an issue with one of our products and I believe it to be caused by using a spring from a different manufacturer. About to do this experiment to find the K values of both springs and see if there is a difference. Pretty exciting when it's real world applications lol. Not so much on paper with 30 other exercises to do.

  • @herpderp2141
    @herpderp21417 жыл бұрын

    How long did it take to learn to quickly to write backwards?

  • @joeya5438

    @joeya5438

    7 жыл бұрын

    They mirror the footage

  • @yashsingh3562

    @yashsingh3562

    6 жыл бұрын

    If it is mirror then the letters should also had to be in reverse direction .

  • @samanthalevin1416

    @samanthalevin1416

    5 жыл бұрын

    He's writing on a glass panel......

  • @animeandstuff5377

    @animeandstuff5377

    5 жыл бұрын

    Joey A he knows doubt anyone that dum lmao

  • @yenice3652

    @yenice3652

    5 жыл бұрын

    I still have no idea

  • @bigduuf
    @bigduuf9 жыл бұрын

    The most helpful video I have found so far! Thank you very much

  • @ednorton3026
    @ednorton30265 жыл бұрын

    Your way of presenting this on glass & explaining it is a great way. Would like to see this method used in schools. I sincerely hope you are a teacher !! Peace.

  • @micheleholcombe7731
    @micheleholcombe77316 жыл бұрын

    Thank you for making a easy to understand straight forward video! It was very helpful!

  • @Leafy2006
    @Leafy20063 жыл бұрын

    This has melted my brain, but then again, other stuff melts my brain even more. Thanks for the simpler stuff!

  • @johnbingham6355
    @johnbingham63555 жыл бұрын

    You are the man for me Sir.No messing about.Straight to the point.

  • @yoprofmatt

    @yoprofmatt

    5 жыл бұрын

    Just trying to keep it honest. Cheers, Dr. A

  • @user-qk8dk9in1o
    @user-qk8dk9in1o8 жыл бұрын

    What a fantastic video! Thank you so much for uploading. Cannot imagine how you wrote everything backward behind that transparent board though. It must be very challenging.

  • @yoprofmatt

    @yoprofmatt

    8 жыл бұрын

    +实在哈哈 Thanks 实在哈哈, but I didn't write everything backwards (that's pretty hard). Check out the secret here: learningglasssolutions.com Cheers, Dr. A

  • @FIGGYYY_
    @FIGGYYY_6 жыл бұрын

    Thank you so much Mr. Anderson, you explained this very well and really helped me understand.

  • @bilek1petr
    @bilek1petr6 жыл бұрын

    Great Stuff! School project solved for me in 6:44 min. Now just remain to rewrite the video.

  • @noraengbring2862
    @noraengbring2862 Жыл бұрын

    This is literally so clear and a life saver, tysm

  • @Var1s_
    @Var1s_2 жыл бұрын

    This taught me better than my physics 201 professor, thank you so much

  • @KnightofChristJesus
    @KnightofChristJesus4 жыл бұрын

    He is writing using his Left Hand. This might be so if He is a Right handed then he did it all the calculation facing towards himself while shooting and during post production it was switched to Mirror Image (Lateral inversion was achieved/flipped). Thus giving you an impression that he is writing in reverse ...

  • @manuboker1
    @manuboker1 Жыл бұрын

    Wonderful lecturer that makes physics fun and understandable !!!

  • @nicholastovbin9575
    @nicholastovbin95754 жыл бұрын

    Thank you for everything you’ve done for me

  • @yoprofmatt

    @yoprofmatt

    4 жыл бұрын

    Nicholas Tovbin, You're very welcome. Glad you're enjoying the videos. You might also like my new site: www.universityphysics.education Cheers, Dr. A

  • @LeBanana420
    @LeBanana4203 жыл бұрын

    finally a good example thank you so much

  • @belindabell3118
    @belindabell31184 жыл бұрын

    Thank you so much. This was amazing.

  • @vesperowl3626
    @vesperowl36265 жыл бұрын

    Thank you so much for this, it's really going to help me for tomorrow's final exam!

  • @tytheguy1771

    @tytheguy1771

    2 жыл бұрын

    Same.. but 3 years later

  • @vesperowl3626

    @vesperowl3626

    2 жыл бұрын

    @@tytheguy1771 😂 if you have an exam soon, I wish you the best of luck man.

  • @tytheguy1771

    @tytheguy1771

    2 жыл бұрын

    @@vesperowl3626 thank you, i write my final tommorrow morning, i need as much luck as possible

  • @vesperowl3626

    @vesperowl3626

    2 жыл бұрын

    @@tytheguy1771 I wish you all the best man, tell me how it goes tomorrow ❤

  • @tytheguy1771

    @tytheguy1771

    2 жыл бұрын

    @@vesperowl3626 88%! this vid definitely helped.

  • @Rafi-jh4hp
    @Rafi-jh4hp5 жыл бұрын

    lots of love from Bangladesh

  • @nikitagamarein
    @nikitagamarein6 жыл бұрын

    Very easily explained...Good work

  • @IISPLURAL
    @IISPLURAL7 жыл бұрын

    thank you for posting this. soooooo helpful

  • @martintobias6319
    @martintobias63194 жыл бұрын

    Clear as Mud lol... 👍 Genius Sir....I don’t know how I finish college 😅

  • @JoseRodriguez-tx1qz
    @JoseRodriguez-tx1qz6 жыл бұрын

    It was very clear! Thank you!

  • @yoprofmatt

    @yoprofmatt

    6 жыл бұрын

    Thank you for the comment. Keep up with the physics. Cheers, Dr. A

  • @lukecaetano8405
    @lukecaetano84053 жыл бұрын

    Thanks Im in Statics and forgot this LOL helped a lot

  • @connorayersman7732
    @connorayersman7732 Жыл бұрын

    I have a question, If I were measuring in cm and the mass was in grams, for when when I do my calculation of k = mg/Ls-Li. Would I convert g which is 9.8m/s^2 to 980cm/s^2?

  • @mydesigncentreindia
    @mydesigncentreindia3 жыл бұрын

    Thank you very much sir, it is extremely simple to understand for a beginner also.

  • @yoprofmatt

    @yoprofmatt

    3 жыл бұрын

    DESIGN CENTRE, You're very welcome. Glad you're enjoying the videos. You might also like my new site: www.universityphysics.education Cheers, Dr. A

  • @felixkimutai8478
    @felixkimutai84787 жыл бұрын

    Interesting, well explained.

  • @lucabriano2987
    @lucabriano2987 Жыл бұрын

    could you just use extension = force/constant to work out the extension of the spring with the new weight ?

  • @leilaleodoro9145
    @leilaleodoro91452 жыл бұрын

    thank you so much I finally understand how this works

  • @yoprofmatt

    @yoprofmatt

    2 жыл бұрын

    Awesome. Re-explain it to me in a few years. Cheers, Dr. A

  • @belleamroh3719
    @belleamroh37195 жыл бұрын

    X is the difference between the pointer reader and the initial reading, right? What if we have more than one pointer reading. We had five loads with a common difference of 10g. How then do we get 'X'. I need help, please.

  • @adir4587
    @adir45877 жыл бұрын

    it was really helpful.

  • @victorforesticastro4901
    @victorforesticastro49018 жыл бұрын

    Great video Proffessor! It is going to help me a lot when it comes time for my Physics summative assessment tommorow!

  • @yoprofmatt

    @yoprofmatt

    8 жыл бұрын

    +Victor Foresti Castro Thanks Victor, good luck on your test! Cheers, Dr. A

  • @srinivassrinivastk9433

    @srinivassrinivastk9433

    4 жыл бұрын

    @@yoprofmatt .... hlo plz make a vedio on pulley's

  • @franko6411
    @franko64115 жыл бұрын

    Thank you, this really helped me :)

  • @yoprofmatt

    @yoprofmatt

    5 жыл бұрын

    You are welcome. Keep up with the physics. Cheers, Dr. A

  • @abdullatifalhor2529
    @abdullatifalhor25298 жыл бұрын

    Thanks man really helped a lot

  • @yoprofmatt

    @yoprofmatt

    8 жыл бұрын

    +Abdullatif Alhor Abdullatif, glad you found it helpful. Stay tuned for more. Cheers, Dr. A

  • @lroy_vcliq
    @lroy_vcliq7 жыл бұрын

    This video is beautiful.My question is why can't one use Ls, I mean when it's stretched it becomes the new length right? And do we always assume that the spring is in equilibrium? Because my question says "Spring is suspended in a vertical position" do I than assume that the sum of forces in the y direction equal to zero? I hope I was clear

  • @yoprofmatt

    @yoprofmatt

    7 жыл бұрын

    Hi Lee-Roy, thanks for the feedback. I'm not sure what you meant by your question. We are definitely using Ls, but only in conjunction with Li. The key factor in spring problems is "how far does it stretch from its equilibrium length" which means we want to use x = Ls - Li. For your second question, if the hanging mass is stationary (hence not accelerating), then the sum of the forces has to equal zero. Hope this helps. Cheers, Dr. a

  • @naveenchandra6464
    @naveenchandra64647 жыл бұрын

    If we place a spring on ground then How we can calculate the spring constant?

  • @hadzila
    @hadzila6 жыл бұрын

    matt, you didn't mention the initial tension which most spring have.

  • @mohamedsmoudi2000
    @mohamedsmoudi20002 жыл бұрын

    this dude just saved my ass for the physics quiz

  • @yoprofmatt

    @yoprofmatt

    2 жыл бұрын

    Awesome! Hope you nailed it. Cheers, Dr. A

  • @mohamedsmoudi2000

    @mohamedsmoudi2000

    2 жыл бұрын

    @@yoprofmatt i sure did

  • @mahjoubahmed1287
    @mahjoubahmed12873 жыл бұрын

    Thank you so much

  • @Kyrowebb
    @Kyrowebb7 жыл бұрын

    so helpful thank you

  • @xanh350
    @xanh3506 жыл бұрын

    Does this apply on a bungee cord? A small one, lets assume I'm using a bungee cord on a catapult, can I apply this to find it's constant? Thanks.

  • @yoprofmatt

    @yoprofmatt

    6 жыл бұрын

    Yes, absolutely. But keep in mind that if you stretch it far enough (as with any spring), it will no longer be linear: the force will not be proportional to displacement. Cheers, Dr. A

  • @Himanshu_Thakkar
    @Himanshu_Thakkar3 жыл бұрын

    You are just awesome and mindblowing

  • @yoprofmatt

    @yoprofmatt

    3 жыл бұрын

    1113 Himanshu Thakkar, Thanks for the comment, and keep up with the physics! You might also like my new website: www.universityphysics.education Cheers, Dr. A

  • @bigitasjoshi4616
    @bigitasjoshi46165 жыл бұрын

    Thank you, so much help

  • @yoprofmatt

    @yoprofmatt

    5 жыл бұрын

    Great to hear. Thanks for the feedback. Cheers, Dr. A

  • @j0hnnybo1
    @j0hnnybo16 жыл бұрын

    thanks for hooking a brother up

  • @yoprofmatt

    @yoprofmatt

    6 жыл бұрын

    Glad to be of help. Cheers, Dr. A

  • @KnightofChristJesus
    @KnightofChristJesus4 жыл бұрын

    The Shirt pockets are Missing and the Buttons are their for you to Make out that he is writing with the Right Hand and The Video was laterally inverted after shoot during Post production ... He is a right handed person ...

  • @yoprofmatt

    @yoprofmatt

    4 жыл бұрын

    Correct! The board is called Learning Glass. You can check it out at www.learning.glass Cheers, Dr. A

  • @siamsarker7465
    @siamsarker74652 жыл бұрын

    Thanks 😊

  • @nicholashaynes3483
    @nicholashaynes34834 жыл бұрын

    Does the spring constant stay the same if you increase the unscratched length of the spring (assuming this spring is of the same properties as the last but shorter one)?

  • @yoprofmatt

    @yoprofmatt

    4 жыл бұрын

    Nicholas Haynes, Yes in theory. No in practice. Think of stretching the spring until the coiled wire is completely straight. Then it clearly won't act like a spring anymore. All springs will eventually behave nonlinearly, that is the restoring force is not proportional to stretch. Thanks for the comment, and keep up with the physics! You might also like my new website: www.universityphysics.education Cheers, Dr. A

  • @carultch

    @carultch

    4 жыл бұрын

    For a helical spring with a circular wire, the formula that gives the spring constant in terms of its geometry is: k = G*d^4/(64*n*R^3) Where: G is the shear modulus of the material, a measure of its rigidity. d is the wire diameter n is the number of coils R is the radius of the centerline of the coils as they are wrapped around the helix. Two otherwise-identical springs, which are each initially built with the same number of coils, but different lengths, should have the same spring constant.

  • @roxannamendoza3402
    @roxannamendoza34024 жыл бұрын

    What if the mass is placed on the spring and it stretched it down 31cm, and then it is pulled down by someone 3cm more. Would the length of the spring be the stretch of the mass and then the initial length be 3cm?

  • @carultch

    @carultch

    4 жыл бұрын

    The x-value for the equation F=k*x, would be 34 cm in this example. The force in the spring would be resisting the weight of the mass, plus the human force applied to it.

  • @BeatriceBrown
    @BeatriceBrown8 жыл бұрын

    This is a really helpful video, but how would I design an experiment to determine the spring constant for springs in series (attached end to end) springs in parallel? Any ideas?

  • @yoprofmatt

    @yoprofmatt

    8 жыл бұрын

    +Beatrice Brown Great question. Springs add just like capacitors (and the opposite of resistors). Parallel: If you attach two springs in parallel, the effective new spring will be kp = k1 + k2. This means of course that you have made a "stiffer" spring (i.e. an object of weight mg will not stretch two springs as far, if both springs are attached directly to the object). Series: If you attach two spring in series, the effective new spring will be 1/ks = 1/k1 + 1/k2. This means of course that you have made a "weaker" spring (i.e. an object of weight mg will stretch two springs further, in total, than one spring). Hope this helps, and hopefully with this info you can design an experiment to test it out by hanging some masses from various combinations of springs. Cheers, Dr. A

  • @BeatriceBrown

    @BeatriceBrown

    8 жыл бұрын

    thanks :) I've designed an experiment which we have to carry out this week, thanks again for your help :)

  • @raeclarke5091
    @raeclarke50918 жыл бұрын

    good day.. I have a question.. I want to design a pogo stick that can hold a max. weight of 90kg that reaches a height of 0.6m. is the K calculated the same way?

  • @yoprofmatt

    @yoprofmatt

    8 жыл бұрын

    +Rae Clarke Hi Rae, good question! No, you'll have to get a little more complicated with your calculation. The important factor, other than K, is how far can the spring compress without "bottoming out." You will have to use conservation of energy to drop a mass from height h, compress the spring a distance x, and make sure that this distance x is still within the working distance of the spring. Give it a shot and let me know how it turns out. Cheers, Dr. A

  • @raeclarke5091

    @raeclarke5091

    8 жыл бұрын

    +Matt Anderson Oh ok cool.. no prob I will.. thanks

  • @yoprofmatt

    @yoprofmatt

    8 жыл бұрын

    +Rae Clarke Rae, just saw this video: kzread.info/dash/bejne/mK2s0blrYa2dfZs.html Thought you might be interested. Cheers, Dr. A

  • @emmettonline
    @emmettonline4 жыл бұрын

    thank you this was very helpful

  • @yoprofmatt

    @yoprofmatt

    4 жыл бұрын

    Emmett, You're very welcome. Glad you're enjoying the videos. You might also like my new site: www.universityphysics.education Cheers, Dr. A

  • @jacksondematos357
    @jacksondematos3576 жыл бұрын

    if I hang a 50g weight on a spring I measure the deformation in cm, to find k I would put it into metres, would I change the weight from g to kg?

  • @carultch

    @carultch

    4 жыл бұрын

    Yes. Then you would apply Earth's gravity 9.8 N/kg, to switch from mass in kg, to weight in Newtons. Mass = 50 grams = 0.05 kg Corresponding weight = 0.05 kg * 9.8 N/kg = 0.49 N deformation, suppose 2 cm, which is 0.02 m k = 0.49 N / 0.02 m = 24.5 N/m

  • @rambo11235
    @rambo112357 жыл бұрын

    What would happen to a spring if you continue adding weights on to the spring, and why would it be unsafe. Is it because it has extended its elastic limit, and it could snap. Thank you :)

  • @yoprofmatt

    @yoprofmatt

    7 жыл бұрын

    Yes, absolutely. A spring is, after all, a piece of coiled wire. Stretch it far enough and the wire straightens out and no longer acts like a spring. Stretch it beyond its threshold limit, and it will snap. Cheers, Dr. A

  • @muhammadmoeed7874
    @muhammadmoeed78745 жыл бұрын

    very good method, I really like this

  • @yoprofmatt

    @yoprofmatt

    5 жыл бұрын

    Thanks. Enjoy the physics. Cheers, Dr. A

  • @yoprofmatt

    @yoprofmatt

    5 жыл бұрын

    Thanks, glad to be of help. Cheers, Dr. A

  • @zamaswazimlaba4483
    @zamaswazimlaba44834 жыл бұрын

    Thanks but may I ask why is g not negative 9.8 … I got confused

  • @yoprofmatt

    @yoprofmatt

    4 жыл бұрын

    Zamaswazi, We usually put the negative sign in front of g. Thanks for the comment, and keep up with the physics! You might also like my new website: www.universityphysics.education Cheers, Dr. A

  • @not.darlynn
    @not.darlynn2 жыл бұрын

    thank you so much

  • @yoprofmatt

    @yoprofmatt

    2 жыл бұрын

    You're welcome! Cheers, Dr. A

  • @Schrvdinger
    @Schrvdinger4 жыл бұрын

    in simple terms its just: constant is equal to mass multiplied by gravity divided by extension

  • @whimsicalvibes
    @whimsicalvibes7 жыл бұрын

    nice video. thanks....but the glass board gives me a headache..

  • @teslatesla5285
    @teslatesla52853 жыл бұрын

    Over 500 companies in South-East Asia apply the patents of Veljko Milkovic's two-stage oscillator in their production

  • @yoprofmatt

    @yoprofmatt

    3 жыл бұрын

    Tesla Tesla, Thanks for the comment, and keep up with the physics! You might also like my new website: www.universityphysics.education Cheers, Dr. A

  • @jiminsshislostjams7421
    @jiminsshislostjams74212 жыл бұрын

    When k=mg/x and when k=2mg/x?? If string is stretched just by weight, where does the gravitational potential energy goes if only half is converted to elastic potential energy? I'm hella confused..Somebody help:(

  • @cynthiarf
    @cynthiarf7 жыл бұрын

    if solving for x, given a mass (2kg) and only Li (8cm), do you find the spring constant by k = 2 x 9.8 / 8 then find x = 2 x 9.8 / k and thus Lstretch Ls = 8 + x OR is it k = (weight of Li) x 9.8 / 8 then x = 2 x 9.8 / k etc?? it seems like the latter but my math skills are rusty

  • @yoprofmatt

    @yoprofmatt

    7 жыл бұрын

    Cynthia, Not quite. Remember that Li (8cm) is the rest length. That is, the length of the spring with no mass hanging on it. When we hang a mass of 2 kg it stretch the spring a distance x = 4 cm. See the discussion at the 2:40 mark in the video. (To calculate k in your equation, change your 8 cm to 0.04 m and you're good). Best of luck, and keep up with the physics! Cheers, Dr. A

  • @cynthiarf

    @cynthiarf

    7 жыл бұрын

    thank you Dr Anderson so much for the response! let me ask this another way can you solve for k on a spring at rest, only knowing Li and mass? or is there a another equation to find x, only knowing Li and mass?

  • @yoprofmatt

    @yoprofmatt

    7 жыл бұрын

    Since at rest kx=mg, there are three unknowns (k,x,m). You need to know two of these to get the other one with this equation. Rest length Li doesn't help you, because the important quantity is x: how far does it stretch from the rest length. Keep working with it. Cheers, Dr. A

  • @cynthiarf

    @cynthiarf

    7 жыл бұрын

    Dr Anderson, thank you for helping me see (k) is only determined after measuring (x) thus true (x) can only be determined by field test, then math can determine changes with different (mg)s thereafter I was seeing since (k) is inherent it could be determined at rest (maybe it could but perhaps the spring's area, helix diameter and/or pitch would have to be formulated? just not by Hooke's) thanks again

  • @alanchu4286
    @alanchu42866 жыл бұрын

    a crate is hung from a spring with a force constant of 525 N/m. This stretches the spring 0.30 from its equilibrium position. What is the mass of the crate????????????????????????????????????????????????????????????????

  • @artursskincs2569
    @artursskincs25697 жыл бұрын

    In civil engineering i found Spring constant Cfi kNm/rad, who determine this spring constant?

  • @carultch

    @carultch

    4 жыл бұрын

    That sounds like a torsional spring constant, rather than a linear spring constant.

  • @Kolokheke
    @Kolokheke4 жыл бұрын

    Thank you

  • @yoprofmatt

    @yoprofmatt

    4 жыл бұрын

    Bevan A, You're very welcome. Glad you're enjoying the videos. You might also like my new site: www.universityphysics.education Cheers, Dr. A

  • @sksamim9699
    @sksamim96995 жыл бұрын

    Sir, if I cut a spring of force constant k in 3 pieces into the lengths of ratio 1:2:3 ,then what will be the force constant of these springs? Explain please ,sir.

  • @carultch

    @carultch

    4 жыл бұрын

    Good question. The short answer is that spring constants "add up in reciprocal" when you connect springs in series, and add up directly when you connect springs in parallel. So the answer is that the new spring constant becomes 3*k, when you cut a spring in 3 pieces. Here's why. Springs in series by definition, carry the same force (F) in each of them. Suppose we have identical 3 short springs, with a spring constant of c. Under load F, individually they would each deform a distance lowercase d. So for each individual spring, F = c*d. When we connect them in series, the deformations add up to a total deformation capital D. D = 3*d, because there are 3 springs deforming identically. Define as the spring constant of the three springs, such that F = k*D. Solve for k, k = F/D. Replace D with D=3*d, and get, k = F/(3*d) Replace F with F=c*d, and get k=c*d/(3*d). Result: k = c/3, or c = 3*k. The new spring constant after cutting a spring in thirds, is three times the original.

  • @idkimbroke7549
    @idkimbroke75493 жыл бұрын

    Is it that hard to guess that the video footage is actually mirrored?

  • @yoprofmatt

    @yoprofmatt

    3 жыл бұрын

    IDK I’m broke, No, not that hard. The board is called Learning Glass. You can check it out at www.learning.glass Cheers, Dr. A

  • @idkimbroke7549

    @idkimbroke7549

    3 жыл бұрын

    @@yoprofmatt yes lolol, the comment section be very shocked that you can write backwards sksksk. Thanks for your wonderful explanation tho. Helped me a lot

  • @germanovalle802
    @germanovalle8026 жыл бұрын

    Hello And before you find the K. How can you determine the wire gauge.

  • @yoprofmatt

    @yoprofmatt

    6 жыл бұрын

    Wire gauge is just a measurement of the wire diameter. And for historical reasons, a gauge with higher number is actually a smaller diameter. See en.wikipedia.org/wiki/Wire_gauge Cheers, Dr. A

  • @germanovalle802

    @germanovalle802

    6 жыл бұрын

    Matt Anderson yes i understand that part you are telling me. But I was reading for some books when you are designing a spring. You have to choose a random wire diameter. My question was, how do you determine that diameter. I was reading that there are some security factor and things that assure the spring will work good

  • @yoprofmatt

    @yoprofmatt

    6 жыл бұрын

    You should consult the book "Machinery's Handbook." Cheers, Dr. A

  • @mathsaplus932
    @mathsaplus9323 жыл бұрын

    Inspiring

  • @yoprofmatt

    @yoprofmatt

    3 жыл бұрын

    Benson, Thanks for the comment, and keep up with the physics! You might also like my new website: www.universityphysics.education Cheers, Dr. A

  • @dipanjanchattakhandi7968
    @dipanjanchattakhandi79685 жыл бұрын

    Very nice video sir... Sir I have a question.. Say we have two blocks of equal masses connected to the two ends of a spring of spring constant K and the whole system is kept on a smooth horizontal frictionless table. Now we apply two equal pulling forces on both the masses and as a result both the masses get displaced by (x) metre say.. Naturally the spring will extend by 2x metre. Now we apply the energy conservation principle Elastic potential energy stored in the spring = Net amount of work done on both the blocks Now, Elastic potential energy stored in the spring = 1/2*k*(2x) ^2 = 2kx^2 Net amount of work done on both the blocks = 1/2*k*x^2+1/2*k*x^2 = kx^2 But these two values are not equal Sir please explain why??

  • @yoprofmatt

    @yoprofmatt

    5 жыл бұрын

    Excellent question! Your first calculation is correct but the second one is not. Imagine this: you pull one block out a distance x. That amount of work is certainly 1/2*k*x^2. The "official" way to do this is to integrate the force (kx) from 0 to x. You integrated from zero because that was the rest length. The spring is not pulling on the block at this position. However, when you now pull out the second block, you have to integrate from x to 2x, since the block is initially being pulled on by the spring. When you do this properly, you end up with 1/2*k**(3x)^2. When you add this to the first answer, you get 2kx^2. Cheers, Dr. A

  • @dipanjanchattakhandi7968

    @dipanjanchattakhandi7968

    5 жыл бұрын

    But when we are applying two opposite forces at the same time, then for both the forces isn't the spring starts getting stretched from its natural length x=0 ?

  • @yoprofmatt

    @yoprofmatt

    5 жыл бұрын

    Yes, but the force is bigger than kx in that case. You are effectively cutting the spring in half (center stays fixed), and that means that k doubles (a short spring is stiffer than a long spring). So that's where you get your factor of two. Very good questions, though. Cheers, Dr. A

  • @viktorlofgren2877
    @viktorlofgren28777 жыл бұрын

    how did you get 490? i just dont understand. can anyone tell me?

  • @Naeromusic

    @Naeromusic

    7 жыл бұрын

    Simply: mg = mass times gravity which in that case is 2 kg times 9.8 m/s^2 which if we calculate equates to 19.6 So now we have 19.6/X To solve for X you have to convert to SI units (metres in this case) and since you have 2 sizes one for initial size and the second for the stretched size you have to get the size between them which you get by doing L2 - L1, L1 being 8 cm and L2 being 12 cm So now we got 12 - 8 which equals 4 cm or 0.04 metres. If we plug the 0.04 metres into the equation you get: 19.6/0.04 Which equates to 490.

  • @MyCrazy4life

    @MyCrazy4life

    5 жыл бұрын

    @@Naeromusic where did he get the 9.8?

  • @Naeromusic

    @Naeromusic

    5 жыл бұрын

    @@MyCrazy4life You should read your physics book. It's the gravitational acceleration of the Earth. 9.8 meters per second squared (^2)

  • @rvmishra9881
    @rvmishra98813 жыл бұрын

    Hello Dr. Strange

  • @litiometalico
    @litiometalico8 жыл бұрын

    Hello, I did this experiment with my students wit a 15 N/m spring and we found after a least square fit that mass= 1,6275xdisplacement + 0,0251. The measurement was very acurate. We found that the spring started to strech with 25 grams. I recomended the student to use the slope in this case 1.6275 kg/m and multiply this by 9.8. This is a real spring and does not uses the idea of k=F/delta but k=deltaF/deltax. Please comment

  • @yoprofmatt

    @yoprofmatt

    8 жыл бұрын

    +Ignacio Olivares Ignacio, love it! This is great, and you are absolutely right that this is a better way to determine k. Since F = kx = mg, if we include a Δ on each side of the equation, we get kΔx = gΔm and therefore k = g(Δm/Δx). So all you have to do is add a bit more weight (Δm) and measure how far the spring stretched (Δx) and you can calculate k from the above equation. Cheers, Dr. A

  • @litiometalico

    @litiometalico

    8 жыл бұрын

    +Matt Anderson that's fine. The best is making deltas on both sides of the equations. When students are doing the experiment it is useful to plot the data first in order they see the need to do kΔx = gΔm. This became now a very useful formula to measure spring constants. Is your image inverted?

  • @litiometalico

    @litiometalico

    8 жыл бұрын

    +Ignacio Olivares Dr.I.

  • @yoprofmatt

    @yoprofmatt

    8 жыл бұрын

    +Ignacio Olivares Indeed it is inverted. See this: kzread.info/dash/bejne/dYt8r9aMfq7eiaQ.html Cheers, Dr. A

  • @abdullabarboza3259
    @abdullabarboza32595 жыл бұрын

    i cant understand ??? which country you are ?

  • @yoprofmatt

    @yoprofmatt

    5 жыл бұрын

    USA. Cheers, Dr. A hey that rhymes

  • @carpediem2296
    @carpediem22968 жыл бұрын

    where did that 9.8 come from ???

  • @yoprofmatt

    @yoprofmatt

    8 жыл бұрын

    That's the gravitational acceleration at the surface of the Earth. Cheers, Dr A

  • @jihanarora9823

    @jihanarora9823

    6 жыл бұрын

    Yeah bhi nahi pata toh dekh kyoun raha hai

  • @kaisounds2925
    @kaisounds29256 жыл бұрын

    Im a student sir you have your calculater at graded it shoud be at degraded becouse a my answer was 163.24 and not 490

  • @PuffleBuns
    @PuffleBuns7 жыл бұрын

    cool board! Where can I get one? ^_^

  • @yoprofmatt

    @yoprofmatt

    7 жыл бұрын

    Your majesty, Boards are available here: www.learning.glass (so are build instructions) Cheers, Dr. A

  • @PuffleBuns

    @PuffleBuns

    7 жыл бұрын

    haha, you are the first to call me "Your majesty" 😅

  • @williamscally3984

    @williamscally3984

    7 жыл бұрын

    I hope springs are included =P

  • @PuffleBuns

    @PuffleBuns

    7 жыл бұрын

    William Scally that was punny. xD

  • @yoprofmatt

    @yoprofmatt

    7 жыл бұрын

    www.learning.glass Cheers, Dr. A

  • @kuberansubramaniam1339
    @kuberansubramaniam13397 жыл бұрын

    மிக மிக நன்று

  • @jihanarora9823
    @jihanarora98236 жыл бұрын

    Thank u

  • @yoprofmatt

    @yoprofmatt

    6 жыл бұрын

    U welcome. Dr. A

  • @mdatiqul8800
    @mdatiqul88005 жыл бұрын

    Thank u sir

  • @yoprofmatt

    @yoprofmatt

    5 жыл бұрын

    You are welcome. Keep up with the physics! Cheers, Dr. A

  • @aaronwarden2130
    @aaronwarden21304 жыл бұрын

    You make my physics book a waste of the paper it was printed on.

  • @OnyeraluobuChibuogwu
    @OnyeraluobuChibuogwu Жыл бұрын

    why isn't mg negative?

  • @aleksandarjankovic1531

    @aleksandarjankovic1531

    Ай бұрын

    It is because when you resolve, you get kx-mg=0, assuming you take up as positive. The minus is there.

  • @ItsDaniel8
    @ItsDaniel83 жыл бұрын

    Where did he get 9.8?????

  • @yoprofmatt

    @yoprofmatt

    3 жыл бұрын

    Shadow Wind, Acceleration due to gravity. Thanks for the comment, and keep up with the physics! You might also like my new website: www.universityphysics.education Cheers, Dr. A

  • @colekelchen871
    @colekelchen8715 жыл бұрын

    Anyone ever nickname u banner?

  • @damemeboi7717
    @damemeboi77174 жыл бұрын

    Does he have some sort of psychic powers? How on Earth can he write all of that backwards!?!?

  • @Rhema_023
    @Rhema_0236 жыл бұрын

    how did he get 9.8??...help

  • @yoprofmatt

    @yoprofmatt

    6 жыл бұрын

    The acceleration due to gravity near the Earth's surface is g = 9.8 m/s^2. Hope this helps. Cheers, Dr. A

  • @foreverofthestars4718

    @foreverofthestars4718

    6 жыл бұрын

    That's just the acceleration due to gravity at earth's surface, its a value you should memorize.

  • @hussainaladwan7902

    @hussainaladwan7902

    6 жыл бұрын

    9.8 is the force of gravity on any object on earth. 9.8 m/s^2

  • @amoschiu5519
    @amoschiu55192 жыл бұрын

    function

  • @hazmat1001
    @hazmat10013 жыл бұрын

    Mr Anderson

  • @JibzCastor
    @JibzCastor6 жыл бұрын

    Mr Fantastic?

  • @yoprofmatt

    @yoprofmatt

    6 жыл бұрын

    Doubt it. But I'll accept Mr. Anderson (but only if you say it in the cool "Matrix" way). Cheers, Dr. A

  • @gabor6259

    @gabor6259

    6 жыл бұрын

    Mr. Annderrrsonnnn

  • @yoprofmatt

    @yoprofmatt

    6 жыл бұрын

    Excellent. I can hear the Matrix tone coming through. Cheers, Dr. A

  • @darkgreen5682
    @darkgreen56823 жыл бұрын

    can you do disney logo

  • @KarenWasherGrudzien
    @KarenWasherGrudzien2 жыл бұрын

    You look like gavin newsom's brother

  • @yoprofmatt

    @yoprofmatt

    2 жыл бұрын

    Okay, cool. Can I use the governor's mansion? Cheers, Dr. A

  • @TanBKeat
    @TanBKeat5 жыл бұрын

    Dr Strange?

  • @oats367
    @oats3674 жыл бұрын

    THIS GUY DRAWS BACKWARDS WITH HIS LEFT HAND WHAT THE SHLUCK

  • @yoprofmatt

    @yoprofmatt

    4 жыл бұрын

    Alpha Junior, Not writing backwards (I'm not that talented). The board is called Learning Glass. You can check it out at www.learning.glass Cheers, Dr. A

  • @oats367

    @oats367

    4 жыл бұрын

    @matt anderson, omai

  • @oats367

    @oats367

    4 жыл бұрын

    thanks

  • @shehabwhatsup
    @shehabwhatsup6 жыл бұрын

    he forgot to convert cm to m

  • @mikeriddle5795
    @mikeriddle57957 жыл бұрын

    It blows my mind how you write backwards.

  • @paurushchaudhery6818

    @paurushchaudhery6818

    7 жыл бұрын

    Mike Riddle using a mirror may be

  • @Joy-C

    @Joy-C

    7 жыл бұрын

    Mike Riddle just invert the camera during editing

  • @laneanderson3005
    @laneanderson30054 жыл бұрын

    yo hes writing backwards

  • @gameboiii7111
    @gameboiii7111 Жыл бұрын

    bro the intro audio is way too loud jesus

  • @kimieexe9534
    @kimieexe95347 жыл бұрын

    what the hell

  • @eyadjordan7623
    @eyadjordan76238 жыл бұрын

    Thank you

  • @yoprofmatt

    @yoprofmatt

    8 жыл бұрын

    +muath jordan Muath, you are welcome. Keep up with the physics! Cheers, Dr. A