 Hello everyone, myself Sachin Rathod working as an assistant professor in mechanical engineering department from Walton Institute of Technology, Solaapur. Today we will see the bit cam and follower part 4. Before to this session, we have seen the cam and followers of part 1, part 2, part 3 in which we had observed the introduction of cam and follower, the classification of cam and follower, the terms used in the, in the previous lectures we have seen when the followers moves with uniform velocity, how to draw the displacement, velocity and acceleration diagram. So, in this lectures at the end of this session the learner will able to understand the displacement velocity and acceleration diagrams when the follower moves with the simple harmonic motion. So, you should able to draw the displacement diagram when the followers or the, when the of the motions of the followers we require that is a simple harmonic motion. As the cam rotates with the constant angular velocity we require to generate the cam profile such a way that the follower moves with simple harmonic motion. So, for that purpose firstly you should draw the displacement diagram. So, after completing the displacement diagram just we require to transfer the distance in the cam profiles when we are generating the cam profile. So, that is the later parts how to transfer the distance. So, before to that you should know how to draw the displacement diagrams when the follower moves with simple harmonic motion. So, you can pause this video and you can think about this the use of simple harmonic motions of the follower. So, this horizontal line indicating the rotation of the one complete rotation of the cam that the cam is rotated by the 360 degree. So, this is a total 360 degree that is angular displacement of the cam this as indicating the stroke length otherwise it is also called as lift of the follower means from minimum position to the maximum position that the distance covered by the followers is called as a stroke length or the lift of the follower that is indicating by the letter s. So, as the angular displacement of the cam we are divided the angular displacement line that is a x axis into the 4 that is first one is a rise then dwell then fall and again dwell. So, we are divided into this then the simple method is there how to draw the displacement here. So, we are drawn the semicircles by taking the midpoint of the stroke. So, here by considering this midpoints we are drawn the semisumbers we are divided the semicircles into the even number of the parts. So, like this we are divided into the 6 number of the parts that is 1, 2, 3, 4, 5 and 6 these are the even number of the parts we have divided the semicircles. Then the next step is that we have projected the divided parts we have projected like this the first point is projected horizontally second point third point fourth point fifth point and the sixth point. So, just we are projected the divided semicircles then the next step is we have to divide this rise into the same number of the parts. So, we are as we have divided the semicircles into the 6 parts. So, similarly we have to divide these rise strokes into the 6 parts and we have to project that divided parts. So, we have projected vertically this is the first divided parts we have projected vertically similarly second third, fourth, fifth and the sixth this is the projected line vertically projected line from the divided parts. So, we have to you have to keep we have to keep in the mind that the parts divided is same as the semicircles we have divided as the semicircles is divided into the 6 parts we have to divide these rise strokes into the 6 parts. If you divided these semicircles into the 8 parts similarly we have to divide these rise strokes with the 8 parts. Then the next steps is that we have to find out the intersecting point. So, as this one projected lies intersecting with the one vertical lines at this junction similarly 2 with this 2 is intersecting at this point similarly 3, 4, 5 and 6 these are the intersecting points of the vertical projection line and the horizontal projection line and from this project intersecting points we have to draw the smooth curve this is a smooth curves we are drawn from the intersecting point. Then the dual period is there means the followers remains at the constant position then again the similar procedure is there for the falling of the followers. So, again we have to draw the smooth curve like this for drawing the smooth curves the procedure is same we have to project these lines already the horizontal line is projected into the 6 number of the part similarly this fall stroke we have to divide this into the same number of the parts. So, as we have divided this semicircles into the 6 number of the parts similarly we have to divide this fall of the followers into the 6 number of the parts these are the 6 number of the parts we have divided right. So, here we have divided this fall of the strokes into the 6 number of the parts now again we have to check out the intersecting point. So, as this line is going to intersect with the 5th lines at this junction so like this we have drawn the intersecting point then we have to draw the smooth curve. So, this curves gives you the when the motion of the followers moves with the simple harmonic motion. So, this is a falling stroke of the followers so again dual period is there. So, like this we are getting the smooth curve when the followers moves with simple harmonic motion then we have to draw the velocity diagram. For that purpose we have to calculate the velocity for outward stroke it can be calculated by using this equation v naught is equal to pi into the omega into the stroke length divided by toys theta o. So, in which v o is nothing but the velocity for the outward stroke omega is nothing but the angular velocity of the cam s is nothing but the stroke length of the theta o is nothing but the angular turns during the outward stroke. So, here we can get the value of the v o so mark the v o so we are observing that the velocity is minimum when the at the starting point and it is maximum at the middle of the stroke. So, like this cause we are getting velocity is minimum at the starting and the ending of the stroke and it is maximum at the middle of the stroke so draw this cause firstly we have to find out the outward velocity value mark here at the middle stroke draw the curve at the this will gives the maximum value again this is the dual stroke velocity is 0 find out the value of the velocity at the return stroke. So, at the middle of the strokes we are getting the maximum value at the starting and the ending of the stroke we are getting the minimum value of the velocity draw this curve this is a velocity diagram for the return stroke again for the dual periods we are getting the 0 velocity. So, this complete will gives you the velocity diagram for the next part we have to draw the acceleration diagram for the outward stroke the acceleration can be calculated by pi square omega square into s divided by twice theta o square first calculate this value then we will observe that the acceleration is maximum at the starting of the strokes and at the middle of the stroke the acceleration is 0. So, the maximum value we are getting by this equation mark that point maximum acceleration at the middle of the stroke the acceleration is 0 draw the curve like this again for the dual period the acceleration is 0 then for the return strokes we have to calculate by using this equation. So, same equation is that as we are using for the outward stroke just we are changing instead of the theta o we are using the theta r this is the angle turn by the cam during the outward stroke and the for the formula for the return stroke of the acceleration is instead of the theta o we have to use the theta r then again find out the maximum value mark here during the starting of the stroke and the ending of the stroke the at the middle of the strokes we are getting the 0 value draw the smooth curve. So, this will gives you the acceleration diagram hope everybody has understand how to draw the displacement velocity and acceleration diagrams when the follower moves with simple harmonic motion. So, these are the references I have taken.