Smple pendulum MT

Added: 2026-05-29

[00:00:00]Good morning.

[00:00:01]Good morning, teacher. How do you feel?

[00:00:04]We are very okay. Okay.

[00:00:08]Thank you for this morning.

[00:00:10]It's a a great pleasure to be with you in this morning.

[00:00:15]So, as usual, we are going to study physics.

[00:00:21]Physics.

[00:00:22]Uh I need someone who tell me what you have what you saw in last CD.

[00:00:33]You.

[00:00:35]Last time we studied about simple harmonic motion.

[00:00:39]We have studied simple harmonic motion. Simple harmonic motion. Okay, actually excellent. So, I need you at your attention.

[00:00:51]All of you, I need you to see here.

[00:00:54]Uh Look at here.

[00:00:59]What you have you seen?

[00:01:01]According to the picture, look here.

[00:01:04]What you have you seen?

[00:01:08]You.

[00:01:09]I see a ball. You see a ball. Actually, you.

[00:01:17]I see a stand. You see a stand. I need anyone else.

[00:01:24]You. I see a string. You see a string.

[00:01:28]Okay.

[00:01:30]So, uh I need you to ask there is some question who come in your mind which comes in your mind.

[00:01:42]Yes. Yeah.

[00:01:44]Why that ball is too small? Why this ball is it too small? Another one.

[00:01:53]You.

[00:01:54]I'm asking myself why the string attached to on on this stand? on this stand. Here. Yes.

[00:02:05]Aha, that's right.

[00:02:07]Another question?

[00:02:11]Mhm.

[00:02:12]I ask myself, why does the pendulum why does that ball Yeah. moving? Why does this ball move?

[00:02:25]Ah, yes.

[00:02:27]So, according to your question, you have a good question which which is interesting to we are going to discuss when we are in this lesson. Yes?

[00:02:43]Okay. So, I need you to make a group of pair.

[00:02:49]I need you to make a group of two people.

[00:03:04]So, Okay. Actually, according to our question, we are going to focus on simple harmonic oscillator and its properties.

[00:03:21]Have you Have you got it? Yes. We are going to discuss on simple harmonic oscillators and its properties. So, we're going into the your group as you sit in your desk, you are going to make a discussion.

[00:03:40]So, you have to you have to feel uh or draw what you feel what will happen when we release this ball, the ball we have seen here, the ball this ball this ball. Oh.

[00:04:09]this ball.

[00:04:11]And in your book, you are going to tell what happened when you release this ball.

[00:04:18]What happened when you release this ball? You are going You are going to draw on your paper.

[00:04:47]You have finished? Finished. Okay.

[00:04:51]Second one, after drawing, you are you are going to forecast which energy which acts, which are acting in your on those graph you have here.

[00:05:07]Draw.

[00:05:20]Finished. Finished.

[00:05:23]Finished.

[00:05:24]>> Okay. Excellent.

[00:05:25]So, I need someone to come here to present what he have what they have they discussed in their book.

[00:05:36]You come.

[00:06:00]>> Yes, thank you.

[00:06:02]So, what we have discussed in our group we have seen that if we have a figure like this and then there is a ball which is attached on this spring.

[00:06:23]And then we have here a ground. We have seen that if we release this ball, it will move in this form.

[00:06:34]After reaching at the point which is same to what it it is that form, it will also return back where it is started until it become to stop here.

[00:06:55]And then we have seen that if we try to determine the energy it has at this point, here it will have potential energy which is seem to be maximum.

[00:07:11]And then the same at this point uh because here kinetic is zero and then here potential will be equal to zero.

[00:07:23]And then as we have seen in the previous lesson about the change in energy, here we will have kinetic energy which is maximum. This is what we have discussed in our group. Okay, clap for him.

[00:07:41]Actually, uh I'll bet they did a lot a lot of work.

[00:07:50]So, any question?

[00:07:57]I have a question. Yeah, go on.

[00:08:01]What if a a ball if it doesn't stop? Is it possible that it will be oscillating uh uh endlessly?

[00:08:14]endlessly? Yes. Okay.

[00:08:17]Another question? There is anyone someone who has another question?

[00:08:23]You.

[00:08:24]Uh I have a question.

[00:08:26]Why a ball is too small? Why a ball is it too small?

[00:08:33]Okay.

[00:08:34]Question. Yeah.

[00:08:36]How can you define the time of the ball when it lose?

[00:08:41]Actually, you you have asked a good question.

[00:08:49]So, uh you what you I'll bet this is a good job.

[00:08:59]What I have to work is to have nice what he has gotten.

[00:09:06]So, is this one?

[00:09:10]We have this.

[00:09:13]We have this pen this pendulum.

[00:09:22]And then, as we start to release this ball here, they come here.

[00:09:33]It comes with kinetic energy.

[00:09:37]So, as we move here, if the potential energy become equal to zero, and then because here there is a total there there is a a kind of velocity which is maximum.

[00:09:55]It pushes this ball to be here.

[00:09:58]Yes? Yes. So, this can cause the endless motion of this ball.

[00:10:06]Right? Yes. Yes.

[00:10:10]Also, joining your group She has asked uh some question. Can you repeat your question? Ask it. Yes.

[00:10:19]I was wondering how can you calculate time period that the ball used.

[00:10:24]How can you calculate time period the ball used?

[00:10:29]Is anyone who has an idea?

[00:10:33]Anyone who has an idea?

[00:10:37]Yes, teacher.

[00:10:38]I think you can get time using force.

[00:10:43]To get time, we use it?

[00:10:45]Force. We need?

[00:10:47]We need the force. We need the force.

[00:10:50]In other words, you believe I remember that all things are attracted by gravitational force. Yeah. Therefore, we can use gravitational force. We can use gravitational gravitational force. Actually, let's proceed.

[00:11:13]So, to get time period, we have You already know that F is equal to minus mg sin sin theta.

[00:11:27]Then, F is equal to m The of the square of X with respect to T squared.

[00:11:37]This is equal to negative M G sine theta.

[00:11:42]According to what you have seen, to have to get uh simple harmonic motion on pendulum, sine theta can be approximated to be theta.

[00:11:56]Theta is equal to What do you According to what you have seen?

[00:12:04]Is equal to It is equal to X over R. We are going to plug this here. So, we have M d squared X d t X M G uh X over R.

[00:12:22]You know what is the value which is equal to this one.

[00:12:29]equal to angular angular velocity squared.

[00:12:34]Actually, the mass have to be cancelled and then we remain with d X with d t squared and which is equal to G over R X. This is angular angular squared. So, angular squared angular is equal to two two pi over period.

[00:13:03]And this one is equal to square root of G over R.

[00:13:11]As when we substitute when we When you find d from here, you What is the meaning of the meaning of that R?

[00:13:21]R is the length of the bob attached to string.

[00:13:27]So, T is equal to period Period is equal to 2 pi 2 pi 2 pi square root L over L over G L over G Yes. So, I need anyone.

[00:13:45]So, I need someone to take his note, notebook, and do this exercise.

[00:14:01]So, according to what you have seen, where this simple pendulum uh applied in real life?

[00:14:12]You?

[00:14:13]When you are jumping a rope.

[00:14:16]When you we are jumping a rope.

[00:14:18]>> Mhm. Another?

[00:14:20]for swinging a ball swinging swinging a ball to chase a like a prayer wheel Yes, actually. So, take your you take a sheet of paper and do this quiz.

[00:14:39]Have you finished it? Yes.

[00:14:45]Finished, teacher. Yes.

[00:14:53]Finished.

[00:14:59]Okay.

[00:15:01]Finished, teacher. Yes.

[00:15:05]Thank you. So, who can tell us what you have seen in the whole system of today? We did simple Yeah.

[00:15:14]Today we have seen the properties of simple harmonic emotion, which are amplitude, period, frequency, and angular frequency.

[00:15:26]Our signal showed how to calculate the period of an oscillating ball.

[00:15:33]Yes.

[00:15:34]>> [applause] >> I have calculated the unity of a period, then I have seen that it is second. It is in second. So, thank you of today. Thank you to be with me.

[00:15:50]Uh we meet in the next lesson. Uh I have to give you this homework.