Hello, everyone. This is Tom from everystepphysics.com and everystepcalculus.com. I’m going to do a Modified Atwood Machine but this time with an angle on the ramp. And so let’s get started. Physics to get into my menu. All Atwood Machines are in the menu under Atwood Machines. And we go from there. You notice the angle was not on the horizontal but up by the pulley because a modified, a true modified atwood machine has a 90 degree angle there. And any other angle all the way down to where just a plain atwood machine where the cord is just hanging around the pulley is between that position and the 90 degree position so any angle in between is what I’ve indicated here. This is 5 kilograms for, I’ll show you in a second here, we’re going to go up to this one would be modified atwood with angle. And I show you that, here’s the angle, here’s m1 m2 over the pulley. And we have to use Alpha before I put anything into these entry lines here. Alpha 5 kilograms. And Alpha for m2 is 7 kilograms and the angle is Alpha 40 degrees. I always show you what you’ve entered so you can change it in case you’ve made a mistake. You notice the formula here g times m2 minus g which is 9.81 times m1 times the cosine of theta. All over m1 plus m2. And you add your variables here. And here’s the acceleration 2.5913 meters per second squared. I also give you tension. Tension uses the acceleration that you found above here. All with the mass of m2. And here’s the tension 50.531. Pretty neat, huh? everystepphysics.com.
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Hello, everyone. This is Tom from everystepphysics.com and everystepcalculus.com. I’m going to do a Modified Atwood Machine problem. And that’s where the mass instead of hanging in both size and the pulley with a rope, its one mass is on a table. Interesting note, notice that the angle is 90 degrees in the corner. So as important as we in another video use friction and and angle. And also friction on the modified atwood machine but let me show you how we do this problem with my programs. Physics to get into my menu. Press enter. We’re going to scroll down to Atwood Machine. Find the acceleration. These arrows here show that there’s more on the menu in case it comes in the middle like this. And we’re gonna choose not atwood machine but modified atwood machine there. Number 3. You have to press Alpha before you put anything into these entry lines here. and the m1, mass 1 of the problem is Alpha five kilograms. If it wasn’t, I would convert it for you and show you that so you could mark it on your paper. And the second mass, m2 is alpha 7 kilograms, again. Choose number two. I show you what you entered in case you made a mistake. I say it’s okay. Here’s a picture just like in case you needed to the draw the picture yourself, you could use that. Here’s the formula. Really simple, isn’t it? Yeah but try to remember that formula from the way professors describe it on the blackboard and how they use the diagrams etc. And so the answer is 5.722 and they have 5.8 meters per second squared on me problem. I always liked put 5 decimal points, not 5 decimal points but 5 integers so that you can, some tests require that. And you can use 3 or 2, whatever you want. But notice they got the free body diagrams going and try to decipher that and put that into a test or homework. It takes me a long time to to do it myself when when I finally get the formula is here. And especially with angles and with friction force. And also I always do tension. That’s a big deal because it uses the acceleration that you’ve just found to find the tension. So here’s the tension 28.613 Newton’s. Pretty neat, huh? everystepphysics.com. Go to my site, buy my programs pass your physics class and subscribe to me so you can see other videos that I might make. Thank you.

Raw Transcript Hello, Everyone. Tom from everystepphysics.com and everystepcalculus.com. We’re going to do A Modified Atwood Machine. This time with friction on the table there. And you’ll notice the ninety degree angle. And that angle goes from when the two masses are hanging and he said the pulley that would be zero angle and then up at a table will be ninety degrees so on all the angles in between, I’m always bothered with physics formula’s where they don’t have a complete formula. And it’s not clear. So anyway, the cosine is in the formula and cosine of ninety degrees is zero. So we see how that works. So that’s the only thing to remember that it has an angle and UK also. So we’re gonna get going here. Physics, go to my menu. I’m going to scroll down to Atwood Machine, here. And I’m gonna scroll up to Modified Atwood with theta and UK. I’ll show you a picture in case you didn’t know how to draw it. Now, of course this would be ninety degrees table. I have that in the modified section of this program, also. I’ll show you that. We’re going to put in a mass here. M1 is equal to 5. You have to push Alpha before you enter anything in these entry lines here. So it’s Alpha 5 kilograms and then M2 is Alpha 11 kilograms. Theta then would be ninety degrees and UK would be point 8 as it’s given. I always show you which have entered, you can change it if you want. I say it’s okay. Here’s the formula. Notice UK’s in the second part of this equation. All divided by the total masses. And then we have cosine here. They enter the variables. And here’s the answer: 6.744 meters per squared. You notice how the second term of this formula became 0 because cosine of ninety is 0. Pretty neat, huh? everystepphysics.com and everystepcalculus.com. Go to my site, buy my program, pass your classes, and subscribe if you wanna see more movies. I also give tension here. See the tension because tension uses the acceleration that we found previous. Have a good day!

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