Transcript for:
Understanding Simple Mechanical Advantage

[Music] Taylor Hamill here from DMM on the tree stuff Channel this is the team method for calculating a simple mechanical advantage here's the basic definition of a simple mechanical advantage system we have the load which is being lifted or moved and that is our moving block we have the Anchor Point which is not moving so there's one stationary block and one moving Block in a simple mechanical advantage we also have various forces here we've got an input force which is the force or the tension that I'm placing into the system we have an output force which is at the load or the moving block and we have a reaction force which is at the Anchor Point now to calculate these forces we can use a method called the T method before we get into the T method though we need to talk about friction in the system so an ideal mechanical advantage assumes that there is no friction in the system so when we do this T method here we're assuming that there's no friction but in real life you're going to have friction losses in the system so you need to consider that to determine the actual mechanical advantage so the T method I have I am inputting some Force here we're going to call that one t when this rope travels around the moving block we end up with one t on this leg of rope and one t on that leg of rope we total that up 2T we only have one t however at the Anchor Point so we've got an input force of one t an output force of two t and a reaction force of one t the ratio between input and output that is our ideal mechanical advantage in this case a two to one a little late on the snap am I doing another cold thing all right let's look at this same system with the redirect at the Anchor Point so using the T method one t on this leg of rope one t this leg one t that leg now we sum them where they make a Bend so we have 2T at that point we have two t at the output one t at this point so we have an input force of one t we have a reaction force of 3T an output of 2T so we have the same mechanical advantage we just have a change of Direction in the Rope to change our pulling angle two to one I should probably redo all right let's look at the nested okay let's look at the next okay let's look at the next example can you guess what the mechanical advantage is here well let's use the T method and find out we've got one t input force here one t on this leg of rope one t on that leg of rope 2T at this portion 2T at the anchor and another one t here we sum those for 3T at the moving block our input forces one our output force is three that's a three to one mechanical advantage all right continuing on here's our final example can you guess the mechanical advantage let's use the T method and find out input force one t one t one t one t and one t we've got two t here 2T 2. 2 and one so if we count the t's at the load at the moving block we get four input force of one four T at the moving block that's a four to one mechanical advantage we have five T at the anchor that's a reaction force of five check out our next video when we describe the difference between ideal mechanical advantage and actual mechanical advantage and talk about friction in the system tea