My discussion. We're looking at a similar example to example seven. I told 5.7, uh, in which we have a We have two blocks off mess resting on the table and you have in external force acting from the left and pushing the blocks together. Now hear this. No idea. The blocks in contact with each other's We have a contact Force P Now the only difference between this and 5.7, it's that there is friction that we have to account for and not it. There's two different kind off, two different coefficients or friction depending on the block. So M one has coefficient off kinetic friction off you. One rest for rental is mutual. I'm gonna draw first of all the individual diagrams for each other blocks. So they started. Look, one m one. So what experiences is the external force? Of course, coming from the left, you know, so extra inserts the fictional force because of you Assume that it's gonna move towards the right. Right? So it s fictional force. Opposing is motion. If and you have gravity every every normal force. Finally, we have tea Contact force, actually contact force from M two will be sighing for someone from the right hand side toasty left. So a more accurate representation like this Course it dissecting from the itch nights from the right, It on the other end for him too. The smaller block again experiences fiction this well And from the left inside you experienced e pushing force from RM one. Basically it's the contact for speak and also the mess. I mean the weight and the normal force the usual forces. So this for him too. Not a funny net force on the system off two blocks, right? So you're considering the entire block. Here s ah, a single system. So what are the Net forces acting on? The system will be for sex on a force f as well Esti fictional forces you want from me when I'm you. Now we know that the fictional forces sexually related to the coefficient like by the normal force. So the total fiction we have a new one and the normal force from the M one. It's just equal study. He wait right to bed. And so all the forces in the Y direction this m one time street with us The fictional force for the second block and to times two. Therefore the net force considering the right side STD positive X direction then the net force would just be f minus away. The daughter frictional force. Next, you want to find what is the net force for m one and forceful and to respectively So, using the free body diagrams we can very easily find mighty Why direction their balance don't 19 or more and the rich So the only thing s t ah horizontal forces along the X direction. So again, positive direction is twisty rights. So the Net Force 40 and one b f minus p my nasty fictional false you one m one g for the m two the case off into the net Force B P minus a fictional force which is mewtwo m two g. So what we do, right? All the u turns second law for these equations for M one and m two. And it was a Loy's. Basically, based on the acceleration and the acceleration to get from the Net force equation, we just divide by the mess. So, for your 1st 1 first equation for m one e nets acceleration. Just if 0.1. It's Peter of I m one minus the one. You you are heading for the 2nd 1 creation. The net acceleration for him too. We just invite this by and to No, because the both off the blocks are moving as a single object by them. We gotta they must share the same acceleration. So actually, both off this have the same acceleration, which you can't just called it a Now we got to find what it's a You think these two equations So, uh, it's quite simple. First, you on a substitute for a GOP and the younger one p using the second equation a wish your we're gonna do is gonna find in terms off p. He scores to eight times two plus you two and two. So substituting it to this question here you have If the m one minus p that p iss, it's toe a to plus you two and two g voted by and one when I see one g close to a. Not to simplify this expression would be again modifiable sites by m one. And I'm gonna bring the term with a two d my hands site so you can get a It's just ef minus you one time you to m two G minus one and one g Put it by in one plus and no, we can find Ah, what iss de apply force. So you want to find the contact force, Pete, And we have this p or you. So what we're gonna do is just suffered you in our A do this equation nights or desist e expression for people.