What Happens When a Block Slides Down a SLIDING Ramp? Classic Physics Problem
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- čas přidán 28. 09. 2021
- Every physics student learns to analyze a block sliding down a ramp. But if the RAMP is free to slide, we get a much tougher problem. Get the notes for free here: courses.physicswithelliot.com...
A block sliding down a ramp is a classic setup for learning to apply Newton's laws to a system that's not too complicated, but also not totally trivial. But what if the ramp itself is free to slide over the ground that it's sitting on? Then we get a much tougher and more interesting problem to solve! In this video, I'll walk you through it.
You'll want to be comfortable already with the usual problem where the ramp is nailed down. If you need a refresher on that, check out the other video I made all about it: • Blocks Sliding Down Ra...
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About the classic physics problem series:
In these intro-to-intermediate-level physics videos, I'll discuss classic physics "challenge" problems that you might meet in your introductory mechanics and electromagnetism classes. They might be based on simple concepts, but these problems can still get pretty tough!
About me:
I’m Dr. Elliot Schneider. I love physics, and I want to help others learn (and learn to love) physics, too. Whether you’re a beginner just starting out with your physics studies, a more advanced student, or a lifelong learner, I hope you’ll find resources here that enable you to deepen your understanding of the laws of nature. For more cool physics stuff, visit me at www.physicswithelliot.com. - Věda a technologie
This is one of those problems in Mechanics in IE Irodov. It's a good problem to begin with once you've gone through basic ideas of NLM
Hello Elliot, I am a high school senior who is going to major in physics and I am going to tell you, you got me hooked up. I am now obsessed with your clear and concise explanation, especially because you show the intricate mathematical details that most popular physicists avoid. By the way, I was trying to solve this problem using the Euler-Lagrange equations. However, I ended up with an ODE that is in terms of the acceleration of the ramp. I tried to access your notes but apparently your website seems to be malfunctioning.
Anyways thank you for you considerable efforts.
Thanks Saud, glad to hear they've been helpful! Have you tried again to sign up for the notes? Maybe the server was down. If you still have trouble you can email me. elliot@physicswithelliot.com
On the first exam in mechanics in graduate school I encountered this problem. The complication was that we were required to solve it using D'Alembert's principle. Worked three times before I could get the limiting cases to make sense.
I am loving your videos more and more as I watch them! My new favourite youtuber HAHA
Thanks Raiyan! Let me know what other topics you're interested in learning about
way to go!! very interesting video
Thanks a lot for this one.
Really great, thanks.
Beautiful video
I am new to the channel and I like it a lot. A problem not directly related to the sliding ramp problem in this video but, perhaps, somewhat related is this: consider a glass of water sitting on a piece of paper on top of a, let’s say, kitchen counter top. If one pulls slowly on the paper, the glass of water will remain at rest relative to the paper but move relative to the counter top. But if one pulls the paper very quickly, the glass of water will remain fixed relative to the counter top and the paper can be removed under the glass of water without toppling it. The question is what Force or velocity must be achieved to get the latter result. Of course, friction between the glass and the paper is involved here. This problem has been in my head for a long time. I have not seen anything in any CZcams video or physics text book that provides a solution. Can you take up the problem or, at least, provide some hints how to attack it?
Thanks so much and congrats on your impressive videos.
Hi Elliot! Could you post a video on the projectile with a drag force proportional to velocity? Thanks a lot!
Good idea I’ll add that to my list Zixuan!
Hi Elliot! I just subscribed to your notes mainly to check your solution of this problem by conservation of energy or work energy which agrees with what I did in my school days. I wrote a review on Amazon outlining this method for this particular problem. The review was for Analytical Mechanics by Grant R. Fowles (7th ed.) You can easily find the time of descent of the block since its vertical acceleration is proportional to the magnitude of the wedge's acceleration(via momentum conservation and the constraint). Very impressive! You're top notch!
can you answer my comment please
Hi Elliot, one of my teachers gave us a similar question with exactly the same background info: a mass m on a frictionless ramp of mass M, and as m slides down the ramp, ramp M begins to slide across a frictionless surface. Here, however, the question is what is the acceleration of the ramp M while the block m slides down. How would I approach this question?
I tried to use a coordinate system on the block such that de x axis is paralell to the ramp, and the coordinate system of the ram remains the same as the video, but I don't get the same equations. Someone else has done it that way and got the correct equations?. Sorry if my english is not so good.
I think there was one similar question in the past Physics Bowl exams
Nice...
I think using conservation of energy and momentum yields a much simpler method.
Edit: never mind thought we were solving for the final velocities
At 8:08 when you integrate the right hand side, you should get an arbitrary constant of integration, C.
Then you need to establish that C must be zero according to conservation of momentum.
That's right, and it's zero because we're assuming here that the block and ramp began at rest
8:00 don't forget the constant of integration :)