## Sine waves explained through a story

Hi I’m Toby and welcome back to the Joy of Mathematics, I’m so glad you could join me today. I’ll run some ideas across the bottom of the screen that we are going to encounter during a story today. I’d also like to thank this episode’s sponsor Brilliant.org. So today’s story is another one about

## Creating Circular Motion from Sine and Cosine Curves

Mr. P: Good morning. Let’s start with a dot moving in the y-direction in simple harmonic motion, just like a vertical mass spring system. Flipping Physics If we set the dot in motion at a constant velocity to the right, Bo what sort of function does that create? Bo: That looks just like a sine

## Why sin and cos don’t mean anything

This is candy. It’s called candy because it was originally from India, where sugar cane was first processed into sugar crystals around the 4th century AD, with a piece of sugar referred to as ‘khanda’ (खण्ड) in Sanskrit. *Simon surreptitiously deposits the candy into his mouth* Now, as the knowledge of the cultivation and processing

## A Problem to Review SOH CAH TOA and the Pythagorean Theorem for use in Physics

Bo: Hey, guys. Billy: Hey, Bo! Bobby: Hi, Bo. ♫ (lyrics) Flipping Physics ♫ Mr. P: Ladies and gentlepeople. The bell has rung,therefore class has begun. Therefore, you shouldbe seated in your seat, ready and excited to review SOH CAH TOA, and the Pythagorean Theorem. Billy: Oh, boy! Bo: Shouldn't we already know those. Mr.

## What is a Fourier Series? (Explained by drawing circles) – Smarter Every Day 205

– كيف الحال؟ اليوم سنتحدث عن الأمواج. هذه دائرة، ربما كنت تعرف ذلك. إذا كنا سنقوم بتشغيل هذه الدائرة وشاهدناها صعودا وهبوطا صعودا وهبوطا وتتبعنا تلك الحركة، سنحصل على ما يسمى موجة جيبية، التي تعرفها لتكون مهمة في أشياء مثل حركة البندول، فيزياء الجسيمات، أشياء من هذا القبيل. موجات الجيب مهمة ولكن بالنسبة لي، أروع

## Simple Harmonic Motion – Graphs of Position, Velocity, and Acceleration

good morning previously we derived equations for position velocity and acceleration of an object moving in simple harmonic motion now we are going to look at graphs of those equations and demonstrate them using a simple harmonic motion projection from circular motion oh that makes sense these are the three equations we derived previously Billy

## Fundamentals of Physics 8th Edition (Walker/Resnick/Halliday) Chapter 16 #14 Solution (Waves I)

what's going on YouTube just helping you out here and for today's video I'll be doing chapter 16 problem 14 in the fundamentals of physics textbook eighth edition by Darrell Walker Halliday and Resnick and chapter 16 is all about waves and for chapter 14 we are talking about a a wire that is clamped