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All right what's up ever walking back to structure free learning and this video finally get to go back to some engineer dynamics oh pulleys how I have missed you so and in this problem we've got a motor that's drawing for part a that's drawing in the cable at a constant rate or velocity of 100 millimeters per second, and we've got to find the velocity of the blocks that are attached to these cake to this motor via cables and then in Part B it's same system but this time the cable is being released at a rate of about 5 millimeters per second squared, and now we want to find the velocity of blocks a and B at 3 seconds and this is what the system looks like here's what my schematic is all right yeah there are two cables in this schematic I have this first cable here that's connecting block a with Block B and then this second cable here that's connecting the motor and Block B in a way I have three particles in this problem, but the motor draws in the cable the first thing I need to do on my schematic is established references and data for each particle and I want to do all this, so I can come up with an equation for the length of the entire cable so what I want to do for the origin or a reference for each particle is I want to choose kind of a fixed location on my pulley system I could choose for instance this wall right here I could choose I could choose this point right here because this point never moves I could choose that point right there, and I'm going to go ahead, and I'm going to say for this for particle a'm going to go ahead and use a line through these two the Centers of these two pulleys as my reference for particle a and if you look at particle a here or block and all block an is really this entire block Plus this little pulley system this wheel that's here too because that is attached to block a and if block a moves at a certain speed so does that pulley wheel, so I could pick any point on attached to or any point of block a to represent the distance from my origin to my block a and it for me in this problem just to make sure I keep it straight I'm going to just choose the middle of the block and so here this will be blocked a that I'm going to define any motion away from the reference of block an as positive and here I'm going to call this plus is so this is my positive distance from the origin to particle a for particle B I can again choose a totally different reference I could choose this fixed point down here the ground over here at the bottom in this case I'm going to go ahead and choose the same reference line for particle B and the distance from this reference or this data to particle B would be here, and again I'm going to choose I'm going to define any vertical distance moving away from the datum as positive now for the motor represents in a way a moving particle in this system this pulley system-- but you know the motor is stationary it's winding something so what I could do is say hey I'm going to let this point here on the...
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