In the execution given data is That is two discs are mounted Yeah on low friction bearing on the same excel and can be brought together. So did the couple and rooted as one unit. Now in the community thing that the first days rotational inertia is given. That is again stated Ivan About that actual value is that is 3.30 kg meters squared. And this first disc is said is spinning counterclockwise. So the action is also given that this counterclockwise With angular speed is Cuban. That is Omega one for first disk. That is 4 50 revolution for a minute. Yeah. No in the kitchen whether it is saying that the second is Having rotational inertia is given that is I two value will be, that is about its center center taxes. Central axis value is 6.60 kg meters square. And this second this is set spinning counterclockwise and Anglo Swedish human. That is Omega II is equal to 900 revolution permanent. So that means the direction for both. This is same, that is counter clockwise so no further in the kitchen. It is saying that after the couple together than we have to solve the given kitchen. And in this vision there are two parts given. So Sorry three parts is given. So I will solo All the parts one x 1. So let's start asking the future in the party. It is asking that after the couple together we have to find the angler is speed. So Mhm. For finding this angular speed or party. Yeah, I will be playing a angular momentum conservation. So according to this angular momentum conservation, the law will be written as there is Ivan omega one plus I to omega two is equal to I one plus I to times of omega. So here I want Omega one is a angular speed of Yes, first this sorry, angular momentum of first disk and I to omega two is a angular momentum of second disk and I one plus I to times of omega is a angular momentum of system after the couple together. So you're after simplifying we have two main target is we have to find the value of this omega. That means angular is good of the days after the couple together so no simplified Then I will get the equation for omega that is equal to I one plus I to. Sorry I Want Omega one. Yes I do Omega two divided by one plus I do. So now you said that uh that is given value. I won omega one and I two omega two. That it's human. So here I'm shooting this data so that I will get the answer for party. So where you will be after simplifying value will be that is 750 rpm. And one thing also remember that era. I had also included the sign that is you can see that the both days having same direction that is counter clockwise. That means I considered omega will be written as that is having posed to sign so that after it I will simplify it using this law of conservation of angular momentum so that I will get the final value of part A answer for apartheid. That is omega will be after the couple I considered where you angles will will be that is 750 rpm. Now come to the next part that is be So in the part B. It is asking it it is Instead the second disk is set it spinning clockwise at 900 rpm, then what are their angular speed And in the party this has hinted the direction of rotation after the couple together. So yeah, for getting the answer, part B of part B. The condition that is here decision is going to change for second days. That is new direction will be given that is clockwise direction for second is and omega two is human same value, that is 900 revolutions per minute. So now for getting the answer for part we get miss omega after the coupling again I will use the angular momentum conservation so it will be a witness. That is Ivan omega one minus I. To omega two divided by one plus I to times of omega. Here you can see that I also included the sign and for first time I had taken the party sign. And for second term on the left side I had taken the negative sign because you can see that the second term is saying that the angular momentum of second disk and the decision is given that is clockwise. So that means I can say that the omega value how that is negative value. So did after multiplying did you negative sign for a second term? So no, likely put the magnitude of the value of given data and simplify it. Then I will get the answer for omega that if I can see that before simplifying fight to make a question by using this a bow line so I can set it. Omega will be equal to I one. Omega one minus I to omega two divided by I one plus I to now some of the data, so I will get omega that is equal to 3.3 multiplied by 4 50 6.6. multiplied by 900. Yeah, divided by 3.3 plus 6.6. So value will be, that is out of selling value is there is minus 450 revolution per minute. So magnitude of angles here will be that is in the question, it is only asking magnitude, so after the couple. So valuable, that is 4 50 revolutions per minute. And in the party it is asking the direction of this omega which is I have sold in the part B. So for parts, the answer will be, that is, I can say that there is a you can see that in the part of the answer is having negative sign. So that means it is a sign that the omega is clockwise direction, that is In the direction of 2nd, this initial angular velocity. So my answer is for party that is clockwise direction. So I had sold the occasion completely by giving the old answer. But so for part of the answer is that is I can say that 750 rpm and for part B answer is that is 450 rpm, and for part of the answer is that it's clockwise direction. Thank you.