Is this question? Perhaps this wave that has a peak to peak institute of one centimeter. It has efficacy of 100 per second. It has the in your masters. You have 120 grams per meter in san friendly attention off 90 newton. But a asked us to find the maximum transfer speed of a point. So we already did this equation in chapter 15. And the equation is why n times omega. But I think it will be helpful due to part B to actually write out quickly. Right out. Um said rubbish again. It's because we have This is this we've can be described by one in a sign. Okay, thanks. Minus Omega team. So where would want to hurt you? You is a derivative of white with respect to t. So it's why in I like to fight him. Oh, Mika, I will sign. Okay, Expand Islamic a cheap. So it's maximum value will be. Why am times omega when Coulson equals negative one? Okay, so is this case we have peak to peak is one centimeter. So the amplitude is half of that is five millimeter. We also need to find out what Omegas omega is two pi times frequency, which is 120 hearts. So this gives us a maximum transfer speed of sir 0.7 meter per second. Well, extra pork meat circumstances. Second, we want to play so largest transfers component of tension. What does that mean? So we have tension intentions, always a long history. So but then there is this horizontal component of tension. We want to find some maximum core presentable component of sis tension. Hold on, he finds out. So this can fund if we it's let me draw. Oh, zoomed out across. So for every single component there is a white Sirius X in this tango Seita, um, this in casita can be described by Actually, it's he was a different angle. We can use this bottom ankle Sit up. It's a single set up camp described by tension. Suit up equals gente y over. Don't X person. How is tension related to Cecilia? It's attention is, um say this tension has a transfers component. Two says the transfers component. Sorry, this is the transfers component of the tension, and this is a direction off the tension. So the component of tension in this direction we'll be tension in the transfer. US direction equals total attention Times science Ada. Okay, so we need to use to you I d x. Like we will take the derivative off this equation since time was respect to X to find what tension Seita is. And then we will use that tenderness, ada, and we will take the maximum value off that, um it takes a maximum value of Seita to find what, um, tendon transfer asses. So the top of transfer asses Okay, so, um, let's first take sister relative If we take this with respect to X week, it okay, times Why him? Times sign Co sign. Can you explain this Omega T? So it's a maximum value you could possibly obtain is okay time. So I am so tensions Satyam Maximum, which is also say the Maximus ease. Tension is more autonomously increasing. So you don't equals injuries. Tension off okay, times while I am so we need to find kay first. Then we can find satar. What is kay? K? Is to pi over Linda. But we also do not know what NMDA iss. Oh, so we need to because say okay. He calls to pi over Linda. What's in Linda equals, Um he over? Yes. So because of that, OK equals omega over be. And that's probably these uses expression which he used for now. Okay, so omega is troop I f he is square root, tall, over mute and then tall from you. Is this whole sing again? Times Why? So this impressed tension up to pi Times 120 hearts over square root of 90 Newton over zero point Want you kilogram per meter times Why am is quite a communicator. Our calculator tells us this is Ron 7.8 Seder. So that is a maximum say that we have. And so Laura is a say dies, The larger the transfers component of the tension is so the largest transfers component of tension happens when say that you cause 7.83 degree inside is 90 Newton on site. Uh, seven point. It's three degree and it is 12 points. Three Newton. So we see that, um, here it's actually fascinator and say that itself was actually pretty similar because, um, cedar is very small. Also like sincere intention Sita So don't differ that much. Okay? Now we can move to part see what has part C. C. What's he says. We have to show that the truth. Maximum values, calculate above. Um, they were occurred. It's the same. Free its value for the way. And then we ask, What is the transfers? Displacement off? Why of the stream that these faces? So that is asking us to you. Fine, since the place Well, firstly, it's easy to say. Why's it occurred at the same face? Because boats of some. If we look at this, both of them are do provocative Off this wave equation one is with prospective tea and wise res respect your ex and both of them get their maximum one co sign K X minus omega T get to a maximum. Um, so that is the explanation for part C. Um, it is if we add a five over here and we were out of five over here, the conclusion is still the same. There will be It's a face. Whatever faces that maximize this co sign K X minus omega T plus five. Because that's the first part off. See, the second part of C is that we won't you find out a displacement of why at set point, That is also not so hard because we have co sign. Okay, X minus omega T pass by equals Clouseau minus one. It's these points. And if co sign equals puzzle minutes one who knows that sign K X minus omega T plus fi will be equal to zero. So why e calls? Why equals against this equation? Why? Because when I am times, Times something well, I will equal to zero as well. So, um, part c transfers, displacement. Who? I will be zero. Okay, not party. What is the maximum rate of energy transfer along the street? Um, with maximum rate of energy transfer along the street, well, we can find what, um, he is. So it is. He equals work. So that's like the rate of energy transfer. Um, possessions. Amount of work is similar, so we can use work equals 1/2 of envy square. But it's easier since we already finds up the transfers. Tension is equal to, um, punk transfers. So this is it Transfers tension time still away because force times distance is the amount of work you do isn't over Delta T. So what does it become gentle. What over Egypt? T is you. So this is Tom transfers times you and this obtained a maximum when most how you gets a maximum, which we know were occurred at the same time. So this is equal to 0.3 newton times frequent a meter per second equals 46. What market? So since I'm running out of space, I'll get you a new page. Um, let me just make sure I have all the answer over here. 40 part see, and party. That's baby CD. And not I will start a new page to do the rest of the question. Okay? No, it's time to look at heart E for Part E. You said, What is the transfers? Displaced woman? Why wins this maximum transfer a curse? Well, that is just there, O meter, because we know that's a maximum Occurs when boasts, um, bimbos, um Z transfer. Still honesty and the transfers. Attention gets to the maximum, and we know that wins out happens. The displacement is zero. So here, with the maximum power, it's about time. Displacement is also sickle part s part f. We ask what is a minimal Rita vintage transfer a long history. Okay, again, we can go back to use ah past equation. Well, actually, we original. What it is is probably zero because, um, he is again. It's you times tension you times tension and both. So you and they're transfers Tensions that have a co sign cakes. Puzzle madness will make a t possibly have a Cole sat inside. So previously when we were looking for the maximum body was set off, these coast has to be one. Well, well, give us a minute. Workout. Well, purchase system to be zero. It sends a total power will be zero. And you can also just visualize it When the wave is here, there is no transfers component door. Everything's like horizontal, so we don't have any transfers. Work going on. Oh, f g. And another way of thinking about it is that it's these points, you know, like it's a maximum place. Um, so instantaneous speed zero. So we don't have any kinetic energy, so because we have no energy, um, he's this case like there was no energy and there is no power. So again, somehow be zero off these peak points. Finally, um, is part G and if a party would ask. Well, what is the transfers? Displacement. Why was this minimus about new happened while when co sign is equal Thio zero sign K X minus omega T plus I will be equal to Maximus. So if we go back to this equation, why will be at it's a maximum value possible when these covers and he could actually be most positive on negative. So because you have no tips, a maximum value which has posted a connective, um, 0.5 centimeter. Okay, so is used to Arza solution for this questions. This is partly Judy is a part e to G.