Don't hate tricks. Call them insights and you won't hate them.

Thanks.

Good video

Hello Dotphysics. I really love your channel; it helps me a lot in my studies and work. If possible, could you please guide me (and many others) on how to write Python code for the Wolf and Hare chase problem - Pursuit Curve? I would greatly appreciate it. Wishing you happiness and good health.

🥳

Wait wait 20/ 3×9.81 =?

wonderful problem.....I may put that in Python. 🐍

No one bailed 🪂 Terrific applications....liked them both!

I love this... fantastic piece of work, thanks for putting this out there into the nerdosphere :)

What will be the D.O.F of coupled oscillator?

Afte practising so many questions, I have seen making mistakes due to writing x prime or x dot to show the velocity in x direction and it's not so efficient to always write like those old books, I do not make mistakes in differentiation or calculus, I make mistakes in distinguishing between velocity and coordinate. So I start writing Vx or Vy or Vz or Vi to show velocity XD

A lot of fun, and informative! :)

YAY PYTHON!

Hello sir

9:40 Once upon a time I tried this problem I didn't know about hyperbolic functions and hence proceeded without Sinh. Using 'normal' trig and multiple substitutions the answer popped out in about 2 sides of A4 and a zillion square roots. This was 50 odd years ago as a teenager. I only mention it because these days folk even define a catenary in terms of hyperbolic functions which although succinct is not necessary. It took me 2 days at the time and I was embarrassed when asked why I hadn't used hyperbolic functions ... I simply has never heard of them.

u should not use the refractive index for the space between the edge of the Earth's atmosphere and the moon's surface!!! u should use the refractive index only for traversing the Earth's atmosphere!!!

Sir more examples 😢

Perfect

Thank you.

Yeah, this IS a terrific problem. The combo of equations and the result is sort of unexpected -- until you think about it, but it's interesting to see where the transition occurs.

I love this channel!!!!!

For the life of me I cannot understand how are gravity and drag force in the same direction

It would be one, my mistake.

You would use the index of refraction of the atmosphere to calculate delta t of m because the index of refraction of space is zero.

The 70 kg person at x=3 creates a clockwise torque. (duh!) To counteract this CW torque a downward force at N1 creates a CCW torque. (not so obvious!) These counteracting torques keep the diving board in rotational equilibrium.

🌔 good problem

A typical fossil fuel plant has 1,000 MegaWatt turbine generators. But that's power. Energy is power times time. So energy is MegaWattHours(MWHrs). A fossil fuel plant runs 24 hours per day, 365 days a year. So that turbine outputs 1,000x24x365MWHrs energy per year. To get the same energy output from a solar facility it will need to be about 100 sq miles. But a typical US state might have 50 1,000MW turbines. So 100sq miles x 50 = 5,000 sq miles. That's a lot of land to be covered up and have absolutely nothing growing on it. To duplicate my calculations be sure to take into account that a solar facility has to have access roads between the rows of panels. And those roads are about the same width as the panels. So immediately half the energy is lost to the road instead of to solar panels. Also, integrate the curve of the incident energy during the day. It goes up and then down sort of like a bell curve shape. Integrate the area under that curve. That's the energy. Divide by the max watt rating of the panels. That gives you a time. Now you can construct a rectangular box that is max watt high and about 4 hours wide. Now we don't have to do any more integral calculus. Just assume 4 hours per day at max watt. Now examine the weather for the year. Do an integral for the year. Construct another rectangular box. And in my state it's about 250 clear days per year out of 365. End result is a 100 megaWatt solar facility produces about the same energy per year as a 100/9MegaWatt fossil fuel turbine. 5,000 sq miles is nearly 10% of the land area of my whole state. Most people will go crazy at the idea of covering up 10% of the land of the state and removing from that area all plant life.

Ok, that was an interesting problem.

Amazing

Kewl. I don't think there's a trig identity for that, but no matter. It's all good. :)

Fun! 🥳

These simple applications are some of the best ones.

Sir could you please provide your notes and reference best book also

NOPE - 55e6 LY not 1 LY you only made the calculation for 1 LY not 55 million LY you may want to film this one again!!!

Forgot that R=55 Mly, so R=5.2X10^23 m. Thus P=3.4x10^41 Watt.

Sir, Could you show how to calculate the acceptance angle for fiber cables in optics? With und without a cladding

The lecture presentation was very good.

😎

There's software that can be set to vary the number, and thickness of multiple layers searching for the combination that maximizes the transmission of monochromatic input light. It could take it a few hours to find the combo that worked. A substrate could be coated with the materials according to that 'recipe' maximizing laser light through the optic. It could get to 99.8% transmission.

That's funny that you're talking about the sun. My parents said they always liked to call me 'sun', because I was so bright. ☀ 😄 🥸

Was a really nice vid. :)

Another nice survey of optics. :)

I did not catch the name of the simulator?

this is gold. thank you immensely for sharing

Nice overview, especially the waves, frequency and sound. 👍👍

When I write plot.contour(X,Y,f) It say matplotlib.pyplot has no that attribute why?

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I’m using VS Code and gcurve won’t work for me, instead I tried using matplotlib.pyplot as plt and numpy and as np. I tried to use numpy arrays in the loop to plot the data points, but I can’t get it to work like f1.(t, x), as in I can only get the graph to show by printing all of the solutions and manually inputting them into the array. Is it possible to get the data to automatically generate into matplotlib.pyplot or does this kind of function only work in the specific website in the video? I’ve only started coding four days ago so I have very limited knowledge, apologies.

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This was awesome. Tnx