# mathematical

1. ### A mathematical model for natural cooling of a cup of tea/coffee/ etc.

hello I have some problem modeling an approximate model of natural cooling of a cup of tea/coffee left in a closed and controlled room. I attached a detailed PDF document (called 01.10.19) that describes all the details regarding the questions I am going to ask below. 1st questions...
2. ### Questions on confusing lever mechanics in the real world (not mathematical)

This is based on a confusing question my brother asked out of curiosity. I know how levers work, i.e., I know they trade distance for power and vice versa. What we want to know is why that actually works in the real world, because thinking about it, it doesn't seem to click. My brother has a...
3. ### Lenz's law - mathematical model of experiment

Hi, I need help with writing mathematical model of experiment that demonstarate Lenz-s law (the magnet trough copper tube). N7tIi71-AjA I want to write the model and simulate it in matlab/simulink. On the following link https://brilliant.org/wiki/lenzs-law/ there are a mathematical...
4. ### Physics Software Google makes mathematical research platform available on request

I found out about https://research.google.com/colaboratory/unregistered.html on social media. Apparently free to early sign ups. I signed up and moments later I got an email granting access to their Jupyter collaboration notebooks. Has a lot of examples online. The "selling" point is that...
5. ### Mathematical model of fabric drying

http://i.imgur.com/NArldL3.jpg Problem: Fabric is moving with given velocity on a surface heated by condensing vapor and air flows across fabric with given velocity. Air state, velocities, dimensions of fabric, temperatures of surface and air are given, also initial mass of fabric per m2...
6. ### Statics: mathematical proof of an equation

This has to do with unit vectors; as well as the angles alpha, beta, and gamma in 3-dimensional space. U = unit vector a = alpha b = beta y=gamma The textbook first states that U = cosa*i + cosb*j + cosy*k where i, j, and k are Cartesian vectors. Then all of a sudden it jumps to the...
7. ### Is it correct [potential difference between two spheres (mathematical)]

Greetings everyone!! Consider two conducting spheres of radius R carrying equal and opposite charge Q. let the distance between their surfaces be d. We will take the distance from surface of the sphere carrying positive charge. Now the electric field at a point at distance x between the spheres...
8. ### Mathematical meaning

Hello there! I've just started to attend a course called "Automatic regulation", and it deals a lot with math and physics. The problem i'm facing is that now, its not enough to just solve the problem mathematically, but i have to set it up from the "real world". To do that i have to understand...