Pendulums | Oscillations and mechanical waves | Physics | Khan Academy
In this video David explains how a pendulum can be treated as a simple harmonic oscillator, and then explains what affects, as well as what does not affect, the period of a pendulum. Created by David SantoPietro.
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Пікірлер: 76
I just realized that this wasn't from "Khan Academy" but instead, "Khan Academy Physics". Subb'd so hard. Thank you for this. You're incredible with explaining these concepts. I appreciate this so much David.
"but if you're really clever"
@SpartanFunnyProyect
2 жыл бұрын
*everyone has left the chat*
@sabrinas.1302
2 жыл бұрын
Oh shi-
@trashboat6818
8 ай бұрын
Like if i was really clever i wouldn't be here the night before my exam 😭
I'm a crane operator. I've experienced first hand the difference in controlling a payload with 10m cable and 50 m cable with aditional side to side oscilations of the tall crane (by design).
Him: "If you're really clever" Me: Uhmm actually...
That torque vs moment of inertia section was soooo helpful.
@beoptimistic5853
3 жыл бұрын
kzread.info/dash/bejne/ioV9xNBrZ8e1mqg.html .💐
Great Video!
Thank you very much for your great videos. I have a quick question. What software did you use for this presentation? I like to make some videos so we can share.
Thanks for making these videos. It really helps in my studies.
Aaa...nd I'm back to watching this video again! Why does this SIMPLE harmonic motion seems so COMPLEX to me🙃
Hi, I'd like to know what makes the pendulum swing in the first place: is it the horizontal component of the tension, the tangential component of the weight of the bob or both of them? Thank you :)
@Suav58
4 жыл бұрын
There is a bit of a gap in reasoning in the video, so some might have failed to fill the missing bits. First of all we usually suppose a rigid and masless link to the pivot point (very much like in a pendulum clock). At rest the gravitational force and the reaction force acting on a mass m due to link are of equal absolute value and opposite signs. This is a situation of stable equilibrium. A force with which the link, that is, the masless rod, acts on a (point) mass m has to be directed along the rod. Moving the mass by a tiny angle from equilibrium (lower rest position) causes a restoring force to appear. At this point you are supposed to draw the (missing in the video) parallelogram of forces. A reaction force in the link moved along the link's line forms an angle ϑ with the gravitational pull on m. That's where the equation τ = LFgsin(ϑ) comes from. There are two gross simplifications in this reasoning. First it is a "flat earth theory" - enough to remember this infinite capacitor from electrostatics course. This is a very good approximation even for pendula of huge size (like a 2 miles link). Secondly, it is totally misleading about general behaviour of the pendulum. Pendulum (with a stiff masless rod) has another equilibrium point, where it is on top of the pivot, rather than the bottom. This is an unstable position and, when infinitesimally disturbed, mass will move with near zero at first, but increasing velocity to reach the bottom point and run past it. You can try and carry on with this argument to covience yourself, that it will take infinite time for such a pendulum to return to the top point. So, a natural period of a pendulum is anything from near zero, when infinitesimally disturbed from a bottom equilibrium point to near infinity, when starting from the top. Now one can start thinking about period as a function of an initial amplitude/angle ϑ, which fits the bill. Approximations better be used with care.
@Suav58
4 жыл бұрын
because your effort depends on trust in what I say: en.wikipedia.org/wiki/Pendulum_(mathematics)#Examples here is your confidence boost.
Please make one where you describe with an exponential function
What software is used in the video for presentation?
Whats future research that can be done on the mechanics of pendulum
So good 👏👏🔥🔥👨🔧👨🔧
B4 utube and khan academy and professor dave explains, i used to think im dumb in physics but now I realize everyday it wasnt me it was the teachers that never explained properly.
Pls tell us how the formula drive
How does General Relativity explain this in terms of time dilation? :)
Ive never subscribed so intensely
During the past year, Laboratory of Two-Stage Mechanical Oscillations Research (a subsidiary of Veljko Milkovic Research & Development Center) has been successfully developing "The Electric Brain" for the pendulum oscillations - a sophisticated multi-sensor system for collecting all necessary information from the pendulum swing/motion with the movable pendulum's pivot point in order to deeply study the pendulum-lever system and research the possibility of its automatisation. The development is in the final stage and the finalization is expected in the coming months. There are few snapshots of the current development status of this device.
@whoislewys3546
5 жыл бұрын
@elonmusk
@LasisiOlushola
Жыл бұрын
@@whoislewys3546😂😂😂
Thanks
Increase in Mass means increase in MOI But acceleration due to gravity doesn't depends on mass, that's why Increase in mass doesn't Increase in period. Time period Will be same doesn't matter mass is whatever.
A mass m suspended by a wire of length L is a simple pendulum and undergoes simple harmonic motion for amplitudes less than about 15º. The period of a simple pendulum is T=2π√Lg T = 2 π L g , where L is the length of the string and g is the acceleration due to gravity.
OMG sooooo good
@alicewindfall6717
3 жыл бұрын
I unterstood it so nicely
@alicewindfall6717
3 жыл бұрын
understood*
i like this vid but there were a little drawbacks the term simple pendulum is not perfectly defined and in case of the swing in real life the cg of the swing would shift and the time period may increase or decrease. btw thanks for a nice video :)
But if the concept about increasing g is increasing Fg so that Period decreases....... Doesn't increasing mass also increase Fg.... But T aint dependent on mass how???
Can I ask a question about friction
@abdallababikir4473
5 жыл бұрын
Wazzup
@Football-bv1ui
4 жыл бұрын
You do not have to ask my friend, that is the beauty of internet. Ask away
nice
But g is 9.82 m/s2 right? ... How are you supose to increase a constant?
@SabrinaXe
5 жыл бұрын
zizou357 you don't increase the constant, bigger objects have a bigger gravitational force. Acceleration=f/m So if we have a bigger mass, a bigger force is required and they both cancel each other to give us the constant 9.82m/s^2 So for instance if we have a mass of 20kg, a gravitational force of 196.4N would be acting on it. And they both would cancel each to give us the constant 9.82m/s^2. Objects on earth naturally cancel each other so perfectly that we always end up with an acceleration of 9.82, regardless of the mass
@darkmattz1841
5 жыл бұрын
Well you need to know how do we get T=2π√l/g in the first place.
@sarthakshrivastava4480
4 жыл бұрын
The g in this scenario is the downwards acceleration, not the value of g as in gravity. If we take the pendulum to another planet, or take it in an elevator and accelerate the elevator the value of 'g' would change. And yes this is 1 year ago but I thought it might help someone who has the same question.
Why is the time period independent of the mass of the bob? I know there's an equation relating time period, length of the pendulum and acceleration due to gravity....but I need a scientific explanation for that. Help me please
@isakhernefeldt9896
3 жыл бұрын
Well small objects on earth's surface experience constant acceleration in free fall so increasing the mass would not affect the acceleration. If you look at the forces you have a greater force pulling down, therefore a greater tension force in the string which gives a greater resulting force in the direction of the pendulums movement. This force which moves the bob will be 2 times larger if the mass is 2 times larger and so on. Therefore acceleration will stay the same since a=F/m.
@tanvidwarka714
3 жыл бұрын
@@isakhernefeldt9896 Oh okay I get it! Thank you!!
WHY doesnt this pendulum perfectly resemble a simple pendulum. it is stated that it is off by several percent, but a reason for this isn't given
@joshbahall6341
7 жыл бұрын
I believe it might have something to do with air resistance/ frinctional forces that the formula doesnt accommodate for? Thats my best guess.
@nigeltims8781
7 жыл бұрын
Never mind, I figured it out. In a simple pendulum, the amplitude DOES have an effect (small) on the period. If you want to be as accurate as possible, you need to use the large amplitude pendulum formula (found here: hyperphysics.phy-astr.gsu.edu/hbase/pendl.html#c1), which does account for a variance in amplitude.
@nigeltims8781
7 жыл бұрын
Never mind, I figured it out. In a simple pendulum, the amplitude DOES have an effect (small) on the period. If you want to be as accurate as possible, you need to use the large amplitude pendulum formula (found here: hyperphysics.phy-astr.gsu.edu/hbase/pendl.html#c1), which does account for a variance in amplitude.
@abdallababikir4473
5 жыл бұрын
It's Becuase you can you Sin and cosine. When the angle is small, like 10 degrees, sin 10 and cos 10 are nearly equal. However you cant do this if the pendulum swings vigorously, let's say 50 degrees in which case the sin and cosine are drastically different and yon can't ignore the difference
@Suav58
4 жыл бұрын
@@joshbahall6341 Please! the approximation is, that for small angles ϑ = sin(ϑ). This, combined with our radial love of elliptic integrals drives us into applying the simple solution.
Damn you Its da best
@God-sz4pf
3 жыл бұрын
Hey just out of curiosity Did you take pendulums in highschool
I have a task, the only given are the angles (10°, 20° and 30°) and they ask me to define the periode T. How do I do that?
I’m so lost
POV: your physics teacher doesn’t teach and you skipped school this week
why we study simple pendulum WHAT is the importance nd uses of simple pendulum
@floyded13
5 жыл бұрын
Amongst other things, using a pendulum is one of the simplest and fairly accurate experiments for measuring the value of the local gravitational field.
@bennyrob2658
4 жыл бұрын
When.you swing from a tree and land in the water. The swing is a pendulum
you didn't do a problem. you never plugged in a value????
If I pass this test is just cause of you
where is you're cheekmark imagine not having cheekmark well i have cheekmark
WHERE TF IS SAL??????????
@tonyburwell2810
6 жыл бұрын
Stephen Curry Hi Curry 👋🏾
I was indeed really clever 🤔
Wanna hear a joke? Me too!
@manjudhar3434
5 жыл бұрын
What's the joke LOL?
@jellotape4423
5 жыл бұрын
@@manjudhar3434 his life lol
Pls tell us how the formula drive
@beoptimistic5853
3 жыл бұрын
kzread.info/dash/bejne/ioV9xNBrZ8e1mqg.html .💐