Simple Harmonic Motion - Physics 101 / AP Physics 1 Review with Dianna Cowern

Lesson 16 (Simple Harmonic Motion) of Dianna's Intro Physics Class on Physics Girl. Never taken physics before? Want to learn the basics of physics? Need a review of AP Physics concepts before the exam? This course is for you!
Exercises in this video:
1. A. Find the length of a pendulum that swings with a period of 4.0 seconds on Earth.
B. What would the period be on the Moon?
2. A. Your 1000 kg car is bouncing up and down on its four identical suspension springs with a period of 1 second. What is the spring constant of those springs?
B. What would the period be on the Moon?
Credits:
Dianna Cowern - Executive Producer/Host/Writer
Jeff Brock - Lead Writer/Course Designer
Laura Chernikoff - Producer
Kaitlyn Today - Video Editor
Sophia Chen - Researcher/Writer
Erika K. Carlson - Researcher/Writer
Hope Butner - Production Assistant
Levi Butner - Videographer
Lauren Ivy - Set Design
Vanessa Hill - Consulting Producer
Aleeza McCant - Illustrator
Rachel Allen - Illustrator
Consultant - Kyle Kitzmiller
Lucy Brock, Samantha Ward - Curriculum Consultants
Cathy Cowern - Transcription

[@abhilashasharmasuman6800]

To study physics we must look at physics the way Physics Girl lovingly looks at the Foucalt Pendulum.

[@vinazbro]

Noice

[@AlphaCentauri24]

@@vinazbro Watcha doin, bro? That's my thing!

[@nikunjdeepupadhyay5058]

We are two Indian student I suppose who are watching this physics girl

[@mukundvashisht6226]

Relatable

[@Udics]

@@nikunjdeepupadhyay5058 I am an Italian guy ...I suppose...who is...

[@serenadezz]

9:53 the way she said "there's an integral too" as if it's nothing 😂

[@maumau9466]

😂😂

[@PapaFlammy69]

*_Everything's a Harmonic Oscillator if you're brave enough_*

[@maumau9466]

Pendulum is just an oscillating Delta function

[@krishnasimha8097]

Not a quantum mechanical harmonic oscillator

[@benjaminwesterhold5762]

Omg it’s zaddy 😯

[@MrRyanroberson1]

if sin(t) ~ t then t ~ sin(t) for small t. we can approximate linear functions as a*sin(x) + b

[@namanchhibbbar2205]

no

[@geraldsnodd]

I wish my school teacher taught us physics as well as you do.😕 You're a good teacher. 😃

[@jozsefkalmar7054]

@party pack Wrong. There is no Earth. It was destroyed and we are all dead.

[@TheMedschoolGuy]

I would say , In india the teachers teach even better than her

[@rvdoc0170]

@@TheMedschoolGuy Then why are you here??

[@TheMedschoolGuy]

@@rvdoc0170 it just came in my feed so i watched it

[@rvdoc0170]

@@TheMedschoolGuy Regarding Indian teachers only few I think 5% maybe some what high 10% are highly educated and talented has knowledge in real life, all other are B.E graduates from private engineering college or chosen physics for having some degree in hand they don't know anything just blaberring instructions in book. Also I don't know how can we expect our teachers to show us some experiments if our school only wants portion completion and tests to be done on time.

[@WouterVerbruggen]

Nice intro into the use of approximations in physics! Much to the despair of our mathematician friends, physics is absolutely riddled with approximations. And then we're not even talking about _applied_ physics hehe. Greetings from CERN's ATLAS magnet RnD!

[@cindot2520]

How i wish you could have been my geometry teacher in high school! You're excellent at explanations! My teacher hated the question "why?"

[@cindot2520]

@Lotad-Is-Hungry excellent question 😆

[@Sarthak.2406]

One of the best youtuber to post such amazing videos on lesson important all over the world also for free 🌎 hats off to u dianna !!😀😍🤞👍👍 keep it up 🤙 👍

[@AlphaCentauri24]

1:30 uhh 1:35 huhhhh 1:48 hooffff 2:30 hppppff Diana undergoing 'physic'-al hardwork for us! 😋

[@2azy_creative]

Best foundational videos of physics on KZbin 🤯❤️👍🏻

[@himstitute9030]

Hey Diana,I am from India and preparing for jee mains and advanced.I am in class11th and I was very happy when this 101series was introduced by you.these days whenever I want a killer visualisation of any topic in physics I just watch your video relevant to that topic which helps me a lot...👍🏻👍🏻👍🏻👍🏻

[@scootskute]

@23:46 this statement is partially true. There is no acceleration related to the simple harmonic motion, so for the purposes of demonstrating this principal the statement is absolutely correct. Still, there are two components that make up accelerating that we feel at the bottom of the swing. Because we feel them we should understand why we feel acceleration that is not directly from the simple harmonic motion we are discussing. First, gravity is pulling us down while the rope/chain is holding us up. We feel this every time we are at rest, so it might be easy to miss. This accelerating causes the motion of the swing. Second, the centripitalal acceleration at the bottom of the swing is pulling is in the same direction as gravity, adding to the tension on the rope. The total accelerating is calculated by adding the two mg + ( v^2 / ρ ) Mass times gravity plus velocity squared over rho, where rho is the radius of the swing or the length of the chain. The higher we swing the more of this we feel.

[@digitheadRex]

Great job Dianna. You really know how to attack the subject in an engaging manner. You make absorbing the information fun. One minor detail: Big Ben is the largest bell in the carillon. The clock is the Great Westminster Clock.

[@johnnymos]

if only my english would be better. Loved physics at school. Later I became a car mechanic. But I never had technical physics english. Thank you so much, @PhysicsGirl, for giving me back the thrills I had in physics lessons.

[@minhaak7144]

U are transferring ur curiosity, enthusiasm and energy with the viewers too. Curiously waiting for all your lessons

[@anshraii2670]

mam your way of teaching is awesome ,just mixture of fun ,seriousness and also your voice is best

[@kevinreardon2558]

You can use pendulum based clocks in Space as its not really "zero" gravity, you just don't have a dominate gravitational force to use. We also haven't developed the mathematical model for such a clock .

[@chillsahoy2640]

The way you explained the mass and spring constant in the ecuation, in an intuitive way, is such a valuable mental exercise. Whenever you see an equation, it's helpful to take a moment and understand in some intuitive way why each value is where it is. Why is time in that equation? Why is something divided by mass? What does it mean for the radius to be squared? In many cases people can work out why these inputs are there, and if you ask them to try and explain how changing that value would affect the result, they'll frequently get it right, even if they can't explain why they're right.

[@MitzvosGolem1]

Excellent, thank you. Took this in physics 1980s a good refresh. If I recall pendulums that swing North to South become figure eights do to rotation of Earth vs East West stay straight. Dr Feynman had a lecture on this as well as Dr Julius Miller.

[@saranyadas5522]

Really amazing,this series is amazing,thank you very much

[@FuncleChuck]

As an acoustical engineer who adores your channel (and Simone!!), thank you so much for this episode!

[@elsa0629]

You make the concepts easier to understand!! It's awesome 😍

[@pierreabbat6157]

The other function whose second derivative is proportional to itself is the exponential. That's what you get (in the small angle approximation) when you start the pendulum at the top.

[@nickush7512]

Spectacular educator. Dianna, so much appreciation. Loving what you do and how you do it :)

[@AKARSH_VERMA]

thank you. You know what I was preparing for my exam and your video helped me a lot. You people make learning fun a lot.

[@Saraseeksthompson0211]

I really hope you do more of these series. This is so helpful for ppl who can't learn in traditional environments

[@pratikshinde2121]

I subscribed this channel because you were sharing some information that I didn't knew. But from last couple of months you are just uploading videos containing information that I learned in Highschool itself.

[@-isi-1158]

My class did this lesson and the previous one switched 😬 wish I’d had this yesterday before my exam 😔

[@kawthar464]

I've got a midterm test in mechanical oscilations this week, this is just so helpful

[@briocon7]

You’re doing good work. I admire your passion for this stuff. I don’t understand all of it, but maybe in time I’ll be able to wrap my head around it all.

[@briocon7]

I’m sorry.

[@noefarias4351]

I haven’t finished the video but is this like gravity, where a hole through earth would cause one to land on their feet but without landing one would end up in the center of the planet eventually???

[@Omnifarious0]

If your pendulum weight was made out of stabilized neutronium, it absolutely would have an effect. Of course, no string would be able to hold it. So, the weight of a pendulum does have an effect, albeit an incredibly tiny and essentially immeasurable one for the typical weight of a pendulum on Earth. You're really getting into the nitty-gritty with your lessons, and regardless of my peanut gallery criticisms, I think you're doing a good job with that. Thank you!

[@zekt98arius]

problem 1 solutions A. 3.976m B. 9.724s

[@math_the_why_behind]

Thank you for deriving each formula!

[@clonecommando6575]

I wish I found these videos while I was taking my physics classes for the past two semesters XD It's a great review though. Also after taking my final physics class and first calculus class at the same time this past semester I think it is super important to take calculus first!! It makes things a lot easier to understand if you know how to use a derivative!!!

[@mitchellfolbe8729]

I really enjoyed the lesson. Well done. Also, I'm glad that writing on paper still has a place in learning.

[@kabirizaman4806]

Can you please explain about the chapter"work and energy"

[@siddhartharao4272]

Thank you you are just amazing I was just taught simple harmonic motion in school but I didn't get that but now I understood it.

[@alborzalborzi3845]

Very well presented Dianna. By the way, I have a question for you. Could you please introduce some reference books that you have studied for preparing these presentations ? It would be very kind of you. Thanks in advance.

[@patrickmeehan6856]

20:38 Big mass = longer period. Forgive my not connecting this dot with the entire derived equation which told us that the period does NOT depend on the mass of the object. I love these videos. I am relatively new to them and maybe don't know this particular quirk, but why does she have that round table? It's not very good for writing on paper that overlaps its edges.

[@math_the_why_behind]

And now we have the cow attached to the string :) I love seeing the different cows in different ways :)

[@kumarvishalben]

I needed this for my college education. Thanks 👍👍👍👍👍👍👍

[@djttv]

Now I want to go see the world's largest faucalt pendulum, and measure its period of oscillation, and calculate its length. Thanks for showing that!

[@sarthak8802]

6:01 mathematicians crying in pain

[@FlyingSavannahs]

Physics Girl: Hey, check out this Foucault pendulum! Oregon Convention Center cleaning staff: Uh, Lady, you gotta go, I'm tryin' ta mop here.

[@Life_42]

I Love Your Classes!!!

[@khaliqbakhshkbr2969]

I am doing my Bs physics at university of karachi_pakistan so you very much helpful for me.thank you

[@theevilmathematician]

The definition of a derivative can only hold if a function f(x) is differentiable and for every ϵ>0, there exists a δ>0 such that |x−x_0|

[@deepakjoshi823]

Ms. Dianna, Could you please make a video on Usage of Laplace Transform and Fourier Transform in Physics? It would be a great help for me for gaining motivation in "Mathematical methods"(2nd paper of my BSc 2nd year 3st semester curriculum, 1st is that "Bloody cumbersome Algebra"😡😁). Please Please Please!🙏🙏🙏

[@sarthak8802]

Loved this lesson 😁

[@NewMessage]

That title would be a great band name.

[@putrefieddocs8320]

this went one step ahead of what I understand at the moment

[@pauls5745]

@ 3:00 , why is this the biggest pendulum in the world? the Gamow Physics Tower has a pendulum that's nearly 40m with a mass of 166kg and a period 12.6s. Oregon's pendulum's mass is however 406kg but only 27m while Paris has 2 really tall ones at 67m, w/ period 16.5 secs

[@melodiousmag]

You are amazing! Thank you so much❤️

[@twothreebravo]

PG: "Why does changing the mass and the displacement height o0f the object not change the period but changing the length of the string does?" Me: "Physics!"

[@Mikidy303]

You're smart! And smart is awesome! Thanks for this video!

[@anilsharma-ev2my]

How tangential force affected hypotenuse and base as the perpendicular going to reduce simultaneously ???

[@1kdurant]

You make it fun! I like it!

[@pierreabbat6157]

Actually a plucked string is harmonic motion, but not simple harmonic motion. A point on a string moves as a sum of triangle waves. Here's a string problem: Put a stop on one side of a string so that the middle of the string just touches it when straight. The middle of the string can move to one side, but not the other. Pluck the string. What sound results?

[@staypositive4358]

Cars have a harmonic balancer designed to reduce vibration and keep things running smoothly. Interestingly, the harmonic balancer in cars is round and uses rubber to absorb the vibrations.

[@uh60av8er1]

Oddly enough so do modern helicopters

[@staypositive4358]

@@uh60av8er1 . Is it also for the engines or does it have to do with the rotor for the blades?

[@-_IT_-]

I'm still trying to wrap my head around the fact that mass has no effect on the period.

[@zekt98arius]

there is also the experiment in which a feather and a hammer, after being dropped from the same height, hit the ground at the same time

[@HakingMC]

@@zekt98arius Feather would probably not work due to air resistance.

[@_rizaeka]

This was our case study back on our freshman days!

[@the_hanged_clown]

I understand some really real buildings use similar pendulums to dampen the wind-sway. do you think employing a tensegrity structure could accomplish the same thing?

[@anikaitmishra4704]

can you solve the shm questions given in the indian physics textbook for class 11

[@g6zyd]

55 years old and re-learning is fun too.

[@christaylor553]

Geez... it's my 6th-grade math teacher crush all over again.

[@souravthakur4123]

I really love your videos ever

[@vm-bz1cd]

Awesome! SHM is SO fundamental to all of physics 👏

[@Terrain239]

Did you try to take slinky by one end, wait till it calms and then let it fell? (And watch it in slow motion?)

[@prabandhdalai]

Your intro is awesome mam 😍

[@radha94]

What is singularity could you please make a video about it

[@motsregor3723]

AWESOME STUFF THANKS!!!!!!!!!!

[@udnsosbx2771]

In that big ben example won't the increase be along width? Can anyone explain me that big ben pendulum thing?

[@sschmidtevalue]

Thanks to Simone, you're now only two degrees from Adam Savage. He'd be an interesting guest on an episode of some kind!

[@jeffreybout]

If you wonder why the French gave the meter its length so the path around the Earth would be 40,000 km... The French also wanted the 360 degrees circle to be replaced by a 400 degrees circle. If you do that, travelling 1 degree in latitude.... corresponds to 100 km! (unfortunately, the 400 degrees circle never became the standard)

[@tarunpal9622]

Thank you very much Dianna mam for this, We are not thought like this in our school...

[@davidwilkie9551]

Simple Harmonic Motion, the basic Mechanism of Holographic Modulation Superspin. Calculus is the derived AM-FM Timing-spacing rate of change of pure relative e-Pi-i sync-duration motion that specifies the Temporal Superposition Singularity positioning in holographic QM-TIMESPACE. The AdS/CFT explanation is another aspect of wave-particle Quantum-fields Mechanism based on constants/mathematical intuition, much like observing the Foucault Pendulum in its own orthogonality. Ie Observe, timing period and lenght->spacing, ..mathematics related reciprocals of Real Numbering in e-Pi-i-numberness Quantum-fields.

[@quark9574]

Can anyone explain me why static friction is involved in equation of circular motion not kinetic friction. It seems like kinetic friction should act because the object is in motion.🤔

[@LeonorPalazzo]

If it is rolling without gliding it means that the surface of the ball is not gliding against the ground, if this is what you're referring to. So at each instant the static friction "pushes" forward / rolls the ball. If you think of a ball on ice or something with no grip you can imagine that there would only be gliding and no rolling. Hope it helps!

[@quark9574]

@@LeonorPalazzo thank you so much! Now I got it.

[@bobjackson6669]

Great video.

[@VishnuSharma-wu6mw]

Today I did correctly got what a derivative is ! Such a relief

[@harsht6583]

You are doing something amazing

[@radha94]

In relativity there is no gravity force then why do the object fall down?? U may say it's due to space- time curvature . then if we take away time dimensions do object fall down?? Please answer my questions

[@radha94]

In relativity there is no gravity force . Then why do the object fall down??

[@arulgupta1639]

can you pls solve a few problems that i have. i tried to ask many but they sadly aren't able to explain or they don't know the answer at all..pls

[@ravibhosle8478]

❤️,heart to physics ❤️❤️❤️,Hearts to physics girl ❤️❤️❤️❤️Hearts to veritasium

[@charles_wipman]

It's not that easy for me to get the whole thing but i think i got the main idea, i didn't went to a school for learn english; i did it by myself and over time, so i don't know all the words and the Google translator suchs to translate certain technical words or terms, but i enjoy the lessons and i find 'em very useful in the life in general. Take care and stay well

[@rivertam1921]

To quote "how bout them apples, I got her number" just like these physics numbers.

[@bonchonjonjon]

I've been aware of the bowling ball experiment from Feynman, I know it works, but I would still be hesitant to try it LOL.

[@nethaeriusonno1964]

Dianna love your channel and I have a question, is the internet harmonic motion??? 🤔

[@amalendupanda8993]

Awesome video

[@stevesastrohowardkings2245]

At 25,000 miles hour what's The psi of the speed of Wind resistance of rocket ship to believe We have left Orbit material silicon nitride Compression strength 400,000 psi Pascal's ?

[@jigneshagrawal6597]

Did you cover rolling motion

[@McNair1952]

Dear Ms Dianna, at 2:50 you said that the Foucault Pendulum changes its pass as it swings. I thought that the pendulum swing stayed in position, and the earth moved relative to the pendulum. The pendulum only seems to change its path. My apologies if I'm wrong. Edit; you did say as the earth revolves. But still, shouldn't you have said the pendulum path "appears" to change?

[@theironherder]

@argyll1952, sorry, I didn't find your comment until after I posted mine. But it's nice to know that someone else finds the distinction worth mentioning.

[@1.4142]

When is electricity and magnetism unit coming out?

[@halghanson]

Standard comment: complement followed by criticism :-) (hopefully more suggestion than criticism) Love the series, interesting examples, a different take. However, it is time to talk about significant digits. You have been all over the place with this concept. I understand the need with your audience. However, at this point, they do need to understand the difference between a gravitational constant of 10 versus 9.8 versus 9.81. An answer given with five significant digits that uses 10 is fundamentally incorrect. Interesting corollary: why do we often see three significant digits. Why, when I’m designing circuits that cost millions of dollars to evaluate, do I use more than 10? Etc. Keep up the good work

[@vinpai]

Correction at 23:35...... gravitational force is not acting tangential to the path but perpendicular to it at the lowest point Great videos though🔥🔥🔥

[@abdurrehman4932]

Hey wanted to ask the difference of the syllabus of Ap and AS

[@Mona-yj9gj]

I enjoyed your class

[@vanaparthyabhinay]

I don't understand one thing when and where to use sin and cos compoments

[@JohnJackson66]

Insert inductance L over Capacitance C for electric oscillation frequency!

[@kevinishki]

So if you could remove as much friction as possible it would just swing almost forever? Why don't we use a large vacuum chamber with a pendulum generator? I'm sure it's not fun to calculate resistance but I wish it was talked about more. Every math problem being in a perfect environment is kind of boring