MIT 2.003SC Engineering Dynamics, Fall 2011
View the complete course: http://ocw.mit.edu/2-003SCF11
Instructor: J. Kim Vandiver
License: Creative Commons BY-NC-SA
More information at http://ocw.mit.edu/terms
More courses at http://ocw.mit.edu

Views: 60876
MIT OpenCourseWare

Great hands on project for any Trig class. Get the students out of their seats and make something to solidify their understanding of trigonometry.
Trig the ultimate fraction application.

Views: 8604
ColfaxMath

In this video David explains how a phase constant can be used in order to shift the graph of an oscillator left or right. Created by David SantoPietro.
Watch the next lesson: https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/harmonic-motion/v/pendulum?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Missed the previous lesson? https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/harmonic-motion/v/period-dependance-for-mass-on-spring?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

Views: 69227
Khan Academy Physics

In this video David explains the equation that represents the motion of a simple harmonic oscillator and solves an example problem. Created by David SantoPietro.
Watch the next lesson: https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/harmonic-motion/v/period-dependance-for-mass-on-spring?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Missed the previous lesson? https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/harmonic-motion/v/definition-of-amplitude-and-period?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

Views: 135840
Khan Academy Physics

For more information about Professor Shankar's book based on the lectures from this course, Fundamentals of Physics: Mechanics, Relativity, and Thermodynamics, visit http://bit.ly/1jFIqNu.
Fundamentals of Physics, II (PHYS 201)
Young's double slit experiment shows clearly that light is a wave. (In order to observe the wave behavior of light, the slit size and separation should be comparable or smaller than the wavelength of light.) Interference is described using real and complex numbers (in anticipation of quantum mechanics). Grating and crystal diffraction are analyzed.
00:00 - Chapter 1. Revisions to Geometric Optics
08:20 - Chapter 2. Young's double slit experiment
50:52 - Chapter 3. Interference and Diffraction of Light
Complete course materials are available at the Open Yale Courses website: http://open.yale.edu/courses
This course was recorded in Spring 2010.
For more information about Professor Shankar's book based on the lectures from this course, Fundamentals of Physics: Mechanics, Relativity, and Thermodynamics, visit http://bit.ly/1jFIqNu.

Views: 154110
YaleCourses

Geometry Teachers Never Spend Time Trying to Find Materials for Your Lessons Again!
Join Our Geometry Teacher Community Today!
http://geometrycoach.com/Geometry-Lesson-Plans/?pa=MOOMOOMATH
How do you use the arc length of a circle to find the diameter of a circle?
We will look at some application problems using sector area and arc length
A pie is cut into 6 equal pieces. The arc length of one piece of pie is 5.4 cm. What is the diameter of the pie?
So our strategy is to always draw a picture.
Let's start by drawing a picture of the pie and assume it is a circular pie. Let's draw 6 equal pieces. If we have 360 degrees divided by into 6 pieces our central angle is going to be 60 degrees. This gives you an idea of what we are working with. What we will do is use a " Proportion Method" to find the circumference, and then use the circumference to calculate diameter.
The proportion method it works like this. We take the arc length and put it over the circumference and set it equal to measure of the angle over 360 degrees. So let's plug in what we know. The arc length equals is 5.4 and we don't know circumference which will become x, and angle measure equals 60 degrees.
We then cross product1 times x and 6 times 5= 32.4 which equals my circumference.
Next we can work backwards to find the diameter.
Circumference = Diameter times Pi which is 32.4. So I will take 32.4 and divide it by Pi and I get 10.31
The pie's diameter is 10.31 centimeters.
That is how you use the arc length to find diameter of a circle.
You may also enjoy...
Circles Radius Diameter & Pi Math Learning Upgrade
https://www.youtube.com/watch?v=eiHWHT_8WrE
Diameter of a Circle Calculate diameter given circumference
https://www.youtube.com/watch?v=XGYqyYz29zo
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Please watch: "Study Skills Teacher's Secret Guide to your Best Grades"
https://www.youtube.com/watch?v=f3bsg8gaSbw
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Views: 11134
MooMoo Math and Science

Free ebook http://bookboon.com/en/introduction-to-complex-numbers-ebook
Hi again everyone. In this video we are going to continue our introduction to complex numbers
and in particular we are going to sketch a region in the complex plane. Now let us motivate our
study, why are complex numbers important? Well, complex numbers is basically an extension of
the real numbers you saw at school,and as I have mentioned in previous videos complex
numbers, although quite abstract, they find useful applications in many many places in science,
engineering and technology. So here I have listed a few, and basically a good understanding of
how to work with complex numbers, in this case how to sketch regions, well this knowledge then
gives us the power to solve more interesting, challenging and important problems. 00:00-00:59.
So todays video is very basic and we can look at this particular example:sketch the region in the
complex plane defined by all those complex numbers 'z' that satisfy the following inequalities.
Okay well, I am going to discuss the general case first and then we are going to solve this
particular problem. 01:00-01:18.
So suppose 'z nought' is a complex number, 'a' is a positive real number and α and β, (I guess
I really should have a less than here) and α and β are real numbers that are between -π and
π. Well, this will represent a wedge in the complex plane now I am using the term wedge very,
very loosely there. Let me give you a picture and you will see what I mean. So here is our axes.
Right so, first we move to 'z nought', so it is here, and we draw a circle around 'z nought' with
74
radius a. Okay alright, so what we would like to do is include all those complex numbers that
surround the point 'z nought' within this radius and let us bring this condition into play well, draw,
consider a horizontal line that is parallel to the real axis. We want to rotate, I guess, between
the angle α and β so we are just going to assume that α is negative in this case and β is
positive. So our region is somewhere in here. 01:19-03:25.
Now we have to be a bit careful because here I have got a strictly less than, so actually I am
going to put some dotted lines in there and the other places we have less than or equals to, so
we can actually include those edges. So here is our general region of interest, so we do not
include this edge here and you can see I have put in some dotted line there. Okay, well our
problem is similar but you see I have got a strictly less than here, so I would change this edge
to a dashed edge because I do not include that edge. So let us have a look at c and see what
we can do here now, just before we do that you can see, well if α is -π and β is positive π, well,
this will extend all the way around there and β will β will extend all around there so we
actually get a disc. So you can see how I am using the word wedge quite liberally there. so for
our problem 'z nought' equals 2i, a equals 1, α equals 0 and β equals 3 π/4. So let us construct
our wedge and put it all together. 03:25-05:06.
Alright, so let us go up to 2i and draw a circle around 2i with radius 1. So notice I am not going
to include the edge here so I am going to draw a dotted line. Okay, alright so let us look at our
angles now so in this case α is 0 so I can just go straight here because remember I draw what I
consider a horizontal line and I want to rotate. Okay so the first condition says that I do not do
any rotation. The second conditions I rotate around 3 π/4 radians, and because I have less
than or equals to I do not need to draw dotted line here. So basically I want to show you that
there is an angle π/4 radians down here. Okay, so where is our region? Well, it will be in here.
So we have not included this edge, we have included that edge but we do include this edge
here. Okay so let us look at the bigger picture. 05:06-06:53.
The first piece of information is that do not be daunted when trying to graph this complicated
regions. it is slow at first but but you need to work through the problem systematically and with
some practice you will recognize the mathematical expressions for regions in the complex
plane very quickly. Now a good idea, if you have time is after you come up with your region, test
one or two points in the region to see if they possess the desired property. So for example, I
could choose the points say, 2.5i which just lies there and then test these inequalities to see if
they hold just as a backup. 06:54-07:31.
Now I am going to leave you with a couple of examples that I want you to try. it is important
when you watch this video just do not watch the video and be passive and expect that you can
understand everything. The important way to understand mathematics is to do mathematics so,
have a go at these problems sketch the regions in the complex plane associated with these
conditions and enjoy! 07:32-08:00.

Views: 59096
Dr Chris Tisdell

A description of Simple Harmonic Motion, including its definition, and examples of SHM in the form of oscillating springs and pendulums.

Views: 174994
DrPhysicsA

I. Why functions : [Starts at: 00min:00sec]
II. What is a function : [Starts at: 02min:26sec]
III. Converting math function to programming code : [Starts at: 04min:04sec]
IV. Plotting a graph for f(x)=x : [Starts at: 05min:00sec]
V. Coding the function f(x) = x : [Starts at: 07min:57sec]
VI. Graphs of common functions : [Starts at: 16min:22sec]
I. Why functions : [Starts at: 00min:00sec]
We use functions in games most commonly for the movement of game objects in a pattern or in a specific path.
II. What is a function : [Starts at: 02min:26sec]
a) Function in Mathematics:
A function is a mapping from a set A (AKA domain) to a set B (AKA range), such that with every element in set A, the function associates exactly one element in the set B.
b) Function in Programming:
A function accepts set of inputs results in to a set of outputs.
III. Converting math function to programming code : [Starts at: 04min:04sec]
a) Function notation in Mathematics:
f(x) = x
where
f(x) indicates y
=x indicates return value
b) Function notation in Programming:
int f(int x)
{
return x;
}
IV. Plotting a graph for a function f(x)=x : [Starts at: 05min:00sec]
Step 1)
Create domain and range table:
x (domain) : We choose domain values
0
1
2
3
4
y=f(x)(Range) : We calculate range based on the function and domain set
0
1
2
3
4
Step 2)
Plot points on the graph based on x and y values and connect them.
x = 0,1,2,3,4
y = 0,1,2,3,4
Note:
We can assign the x and y values to a game object to move it diagonally
V. Coding the function f(x) = x : [Starts at: 07min:57sec]
Example Code:
using UnityEngine;
public class FunctionsDemo : MonoBehaviour {
void Start () {
int[] x = {0,1,2,3,4}; // domain we choose
int[] y = {0,0,0,0,0}; // range we calculate
for (int i = 0; i < x.Length; i++)
{
y [i] = f (x [i]);
Debug.Log (string.Format ("X={0} and Y={1}", x [i], y [i]));
}
}
int f(int x)
{
return x;
}
}
VI. Graphs of common functions : [Starts at: 16min:22sec]
a) Constant function: f(x) = c
b) Linear function: f(x) = x
c) Quadratic function: f(x) = x square
d) Cubic function: f(x) = x cube
e) Absolute function: f(x) = absolute of x
f) Square root function: f(x) = square root of x
g) Sine function : f(x) = sine of x
h) Cosine function: f(x) = cosine of x
i) Logarithmic function: f(x) = log of x
Note:
We can even combine functions to get different graph
h(x) = f(x) + g(x)
========================================================
Follow the Link For Next Video: https://youtu.be/4Y4brP_PCYI
Follow the Link For Previous Video: https://youtu.be/RLrHwPDIT84
========= For more benefits & Be up to date ===================
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Views: 369
Chidre'sTechTutorials

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Extel Academy, has over a decade of experience and has counseled more than half a million students of Higher Secondary. We have trained thousands of Students, and believe that there is absolutely no match for us in the industry.
Extel Academy is a premier support agency for XII Std students, not just in coaching for exams, but providing overall support. Extel currently advises over 50, 000 XII Std students on career options across Tamil Nadu, from over 1200 schools.
Extel Academy has niched itself a concrete name in the Combo Classroom coaching, because of its Excellent Academic Strength, and Specialized materials. Extel has been coaching for AIEEE, ever since this exam was launched. In fact Extel has been coaching students for the past 17 years, in various other exams like TNPCEE, JIPMER, CMC etc, and has always been the topper in number of admissions secured.
Join us and you are in safe hands
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Views: 1995
Extelacademy

Second semester of Classical Physics avail FREE with lectures, assignments, quizzes/Tests, discussions, G+ Hangouts @ World Mentoring Academy(a MOOC) http://worldmentoringacademy.com/www/...
Help make Foreign Language CC's:
Dr. Lewin's complete MIT physics lectures, now on the YouTube channel World Mentoring Academy(a MOOC)
This video was first published on the YouTube channel MIT OpenCourseWare under the title "Walter Lewin Promo" in 2007.
Attribution: MIT OpenCourseWare
License: Creative Commons BY-NC-SA 3.0 US
To view a copy of this license, visit http://creativecommons.org/licenses/b....
More information at http://ocw.mit.edu/terms/.
This YouTube channel is independently operated. It is neither affiliated with nor endorsed by MIT, MIT OpenCourseWare, the Internet Archive, or Dr. Lewin.

Views: 130
Michael Williams

In this lesson I explain the relationship between the lateral area of a right circular cone allows us to find the Area of a Surface of Revolution.
Rule for Area of a Surface of Revolution at 16:37 ,
Example with a horizontal axis of rotation at 19:11 NOTE: at 19:44 I should say "2PI times the definite integral from a to b..."
Example with a vertical axis of rotation at 28:02 ,
Example finishing with numerical integration with a calculator 33:57
Check out http://www.ProfRobBob.com, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at http://www.mathplane.com

Views: 7881
ProfRobBob

This is a Math riddle concerning the number 2009 and unity.

Views: 794
E mcsquare

How to measure for an elliptical archway is a short video demonstrating how to gather the key measurements needed before placing an order with www.archwaysandceilings.com

Views: 3741
Archways & Ceilings

► My Applications of Derivatives course: https://www.kristakingmath.com/applications-of-derivatives-course
Related rates problems are an application of derivatives and implicit differentiation that allow us to figure out how fast one thing is changing in relation to how fast something else is changing. For example, we might be interested in how fast an airplane is traveling compared to how fast the angle between the plane and an observer on the ground is changing.
Related rates problems allow us to do that by using implicit differentiation. We'll usually take the derivative of the equation, taking the derivative of every variable with respect to time t. Then we'll plug in for what we know and solve for the value we're interested in.
The key to related rates problems is getting the right equation set up. You need to figure out what equation you can write that will include the value you need to solve for. In addition to that, you may have to come up with a second equation that will give you the value for a missing variable that you need to plug into your first equation.
● ● ● GET EXTRA HELP ● ● ●
If you could use some extra help with your math class, then check out Krista’s website // http://www.kristakingmath.com
● ● ● CONNECT WITH KRISTA ● ● ●
Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com
FACEBOOK // https://www.facebook.com/KristaKingMath
TWITTER // https://twitter.com/KristaKingMath
INSTAGRAM // https://www.instagram.com/kristakingmath/
PINTEREST // https://www.pinterest.com/KristaKingMath/
GOOGLE+ // https://plus.google.com/+Integralcalc/
QUORA // https://www.quora.com/profile/Krista-King

Views: 9153
Krista King

A pendulum is a weight suspended from a pivot so that it can swing freely. When a pendulum is displaced sideways from its resting equilibrium position, it is subject to a restoring force due to gravity that will accelerate it back toward the equilibrium position. When released, the restoring force combined with the pendulum's mass causes it to oscillate about the equilibrium position, swinging back and forth. The time for one complete cycle, a left swing and a right swing, is called the period. The period depends on the length of the pendulum, and also to a slight degree on the amplitude, the width of the pendulum's swing.
From its discovery in around 1602 by Galileo Galilei, the regular motion of pendulums was used for timekeeping, and was the world's most accurate timekeeping technology until the 1930s. Pendulums are used to regulate pendulum clocks, and are used in scientific instruments such as accelerometers and seismometers. Historically they were used as gravimeters to measure the acceleration of gravity in geophysical surveys, and even as a standard of length. The word 'pendulum' is new Latin, from the Latin pendulus, meaning 'hanging'.
This video is targeted to blind users.
Attribution:
Article text available under CC-BY-SA
Creative Commons image source in video

Views: 367
Audiopedia

A pendulum is a weight suspended from a pivot so that it can swing freely. When a pendulum is displaced sideways from its resting equilibrium position, it is subject to a restoring force due to gravity that will accelerate it back toward the equilibrium position. When released, the restoring force combined with the pendulum's mass causes it to oscillate about the equilibrium position, swinging back and forth. The time for one complete cycle, a left swing and a right swing, is called the period. The period depends on the length of the pendulum and also on the amplitude of the oscillation. However, if the amplitude is small, the period is almost independent of the amplitude.
This video targeted to blind users.
Attribution:
Article text available under CC-BY-SA
Public domain image source in video

Views: 733
encyclopediacc

End of Year projects in sixth grade are open ended, allowing students to pick a topic that they would like to explore on the own. Since students are given little guidance, they are allowed the freedom to find ways that work and don’t work, and see the importance of planning. Mr. Holloway takes you behind the scenes for his End of Year Math projects. Read more here: http://powhatanschool.org/pulse/in-the-classroom/end-year-math-projects/
interested in more math videos:
Algebra I Class | Concussion Testing and Standard Deviation: https://youtu.be/jo1Im4E_HDQ
Geometry Class | Field Day Overview: https://youtu.be/hwBJFXBDOvM
Talking MATHCOUNTS: https://youtu.be/58Y1xdgRGpQ
Geometry of Field Day: https://youtu.be/v-E_bIxBcnc
Camp Counselors: https://youtu.be/qJUT8LlOExI
Upper School Retreat 2015: https://youtu.be/c3AwuxICmWg
Upper School Retreat 2014: https://youtu.be/-NFGkcuNfsY

Views: 194
PowhatanSchool

Astronomy in Ancient, Medieval and Early Telescopic Era of India by Prof. Amitabha Ghosh, Department of Applied Mechanics, IIT Kanpur.For more details on NPTEL visit http://nptel.ac.in

Views: 363
nptelhrd

Featuring Dr. Stan Wagon, Professor of Mathematics - Macalester College. There is no better way to get someone's attention than with an assertion that just seems obviously wrong. Math is full of such things. The talk presents several surprising, even shocking, things from elementary mathematics, such as: A square wheel that rolls perfectly smoothly. A device that uses a normal rotating crankshaft to drill perfect square holes. An application of a non-circular wheel to sewage disposal. A shocking cake puzzle. Surprising new formulas for π. Benford's mysterious law of first digits. The Banach-Tarski Paradox, with constructible pieces.

Views: 6385
UNCA Ramsey Library Video Production

Hi, guys!
This is a short preview of a video that I am going to shot tonight.
It is completely in Russian and it is going to be basically about the Math, in particular about the very beginnings of the Math which are used everywhere in the other sciences and has lot of applications.
Excuse me, but I don't plan to provide any subs to this video. Instead I consider filming another part of this video in English and maybe Spanish. It would be a nice practice in English terms for me and maybe I will be filming it as a screencast (without pen and paper etc.)

Views: 1441
izumiasmr

WEBSITE: http://www.teachertube.com Calculus Projects 2009

Views: 190
TeacherTube Math

როგორ უნდა შევქმნათ ექსელში ახალი ფუნქციები VBA საშუალებით.
Help us caption & translate this video!
http://amara.org/v/BK9r/

Views: 532
probnoblem

Views: 18
Larson Texts

The Faith of Men
Jack LONDON
A collection of short stories by author Jack London.
Genre(s): Single Author Collections
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Audio book Audiobooks