Ball bouncing off a step: maximising the bounce height
A ball of radius r collides elastically with a smooth step of height h. What is the ratio h/r that maximises the height reached by the ball? In this video we answer this question using a vector-based approach.
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About me: I studied Physics at the University of Cambridge, then stayed on to get a PhD in Astronomy. During my PhD, I also spent four years teaching Physics undergraduates at the university. Now, I'm working as a private tutor, teaching Physics & Maths up to A Level standard.
My website: benyelverton.com/
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Пікірлер: 11
Great video!
loved the problem, it clarified my dobuts of using unit vectors. could you also do a video on a complicated constraint motion problem? thanks!
@DrBenYelverton
Жыл бұрын
Good to hear, thanks. Do you mean using constrained Lagrangian mechanics (as I covered a few videos ago)? I’ll have a think about this and see what I can come up with!
@rknif781
Жыл бұрын
@@DrBenYelverton I tried learning langranian, but I guess I need more maturity to understand it. I was talking about constraint motion in strings, once I saw problem having some 4, 5 pulleys and question asked to find the relative acceleration of the pulleys.. had a hard time dealing with the problem. I'd appreciate it you would cover a problem like that
@DrBenYelverton
Жыл бұрын
Ah, OK - I will put this on my to-do list and try to cover it when I can!
Nice vid, the unit vector concept was v cool, can you please reccomend problem books with questions like these
@DrBenYelverton
7 ай бұрын
Thanks! This is quite a unique problem and was suggested to me by a viewer so I'm not sure where you can find similar things I'm afraid.
can you provide more reference/materials/books/videos about vector-based approach? How does it really work?
@DrBenYelverton
Жыл бұрын
The main things you need to know about to understand this video are the scalar product and the concept of projecting a vector in a particular direction. This page looks like a good starting point - if you can understand the material there then the video should make more sense: math.libretexts.org/Bookshelves/Calculus/Book%3A_Calculus_(OpenStax)/12%3A_Vectors_in_Space/12.03%3A_The_Dot_Product
@JB_W
Жыл бұрын
Thanks!