 Hello everyone, I am Sachin Rathod, working as an assistant professor in the mechanical engineering department from the college of Walter Neustrop Technology, Soolaho. Today we will see the next part of the break. The learning outcome of this session is, students will be able to understand the working of simple band break. So, this is a schematic diagram of simple band break on which one lever is there, that lever, one rope is attached or the band is attached on that band, the frictional material is lying. So, when we are pulling that lever by an amount of force P in the upward direction, then the rotating term will get stopped. So, we will see this in detail. So, you can think about this, what are the applications of simple band break? So, the first thing is that the simple band break is mostly used in the parking break or the hacksaw machine. So, this is a simple diagram of band on which the two hooks are there. We are attaching that two hooks to the lever and in between that hook, our rotating drum is there. So, when we are pulling force P on the lever, then the rotating drum will get stopped. So, we will see the derivation for this simple band break for finding the breaking torque or the force applied at the end of the lever. So, already we have seen the simple band break is one disc is there and this disc, the rope is attached. This is our lever, here by using one pin, we are attaching one end of the rope at this end or the band and this is our the fulcrum, this is the one end of the lever. And at the another end, we are applying the P in the upward direction. So, in that figure, this is the angle theta that is called as the angle of the lap. The portion which is covered by the belt that is called as the angle of the lap. It is denoted by the letter theta. This is the radius r that is the radius of the drum r. So, this is the lever, this is the lever, this is the fulcrum, this is the force P applied in the upward direction. This is the distance in between or it is the distance of the lever that is denoted by the letter l. It is the distance from fulcrum to the pin that is denoted by the letter a. And when we apply the force at one end of the lever in the upward direction, then tension will created in the rope or the belt. So, if the drum will get rotated in the clockwise direction, the tension T1 is as this side and this is the tension T2. Where T1 is nothing but tension in the tight side and the T2 is nothing but tension in the slack side. So, here we have to calculate the breaking torque. So, this is a simple diagram of the simple band break. And one thing you have to remember that on this rope or the belt the frictional material are lying. So, due to the friction in between that the frictional material which is on this belt and there is a friction between your the drum. So, due to that two friction occurs your the rotating drum will get stopped. So, we will see the how to calculate the breaking torque. So, one thing we are knowing the limiting equation the limiting equation of the belt. So, from the belt chapter we are knowing that if the T1 and T2 are the tension in the tight side and the slack side respectively. The ratio of tension in the tight side to the tension in the slack side T1 by T2 is equal to e raised to mu theta. Where T1 is nothing but tension in the tight side T2 is the tension in the slack side. Mu is a coefficient of friction between the rotating drum and the belt and theta is the angle of the lap. So, this is the one equation that is the relation between T1 and T2. The second thing is that we are knowing that breaking torque Tb is equal to T1 minus T2 into the radius r radius of the drum. So, this is the equation of the breaking torque if in the given data if or if we are knowing the effective radius. So, we can get the equation T1 minus T2 into r e where r e is nothing but the effective radius. If the thickness of the belt they had given us or if we are knowing the thickness of the belt. So, we can consider the r e where r e is equal to r plus T by 2 where T is nothing but the thickness of the belt. So, by doing this equation we can easily get the value of breaking torque. So, here we have to find out the value of force beam. So, for finding the value of the force beam there are the two conditions are acting. So, one thing is that the drum will get rotate in the clockwise direction or it may be rotate in the anti-clockwise direction. So, we will see these two condition. So, first one the drum rotates in the clockwise direction. So, if drum will get a rotates in the clockwise direction at that time drum will get rotate in the clockwise direction. Here the force beam is applied. So, as it is rotated in the clockwise direction, the maximum tension will occur in this bed. So, it is denoted by the letter T1 and the minimum is that is slag will occurs on this bed, it is denoted by the letter T2 and this is our the fulcrum O, this is the length of the lever and this is the distance between your the pin and the fulcrum that is So, we have to take the moment about the O, so by taking the moment about O, we are getting that, that is the force P P into L, it is acting in the upward direction and T1 into A. So, is equal to T1 into A, therefore P is equal to T1 into A divided by L. So, this is the equation of force P and the second case is if the drop will get rotated in the anticlockwise direction. So, second case anticlockwise direction, so we are getting the diagram like this, this is the rotating drop, this is the position of the bed, this is the fulcrum, here one end of the rope is attached by the pin, here the force P is applied. Now, this drop will get rotated in anticlockwise direction and that times we are getting that the tension will occur, the maximum tension tension in the tight side will occurs at this portion, it is denoted by the letter T1 and this will give the T2 tension in the slag side. So, we are getting that take the moment, moments about O, this is the fulcrum O, so we are getting that P into this distance L is equal to, this distance is A T2 into A, therefore we are getting P is equal to T2 into A divided by L. So, by this way we can easily get the value of P. So, from this equations we are getting the, if you are knowing the how much amount of the force P is applied, we are getting the value of T2 and by knowing the value of T2, put this value of the T2 in this equation. So, now we are knowing the value of the coefficient of friction and the angle of the left theta, we are getting the value of T1. So, if you are knowing the T1 and T2, we can easily get the breaking term. So, these are my references. Thank you.