Simple Harmonic Motion
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- Опубліковано 17 лип 2024
- 044 - Simple Harmonic Motion
In this video Paul Andersen explains how simple harmonic motion occurs when a restoring force returns an object toward equilibrium. The two types of harmonic motion studied in AP Physics are the mass spring oscillator and the simple pendulum. The period of a mass spring increases as the mass of the object increases and decreases as the spring constant increases. In a simple pendulum the period increases as the length increases and decreases with an increase in the gravitational field strength.
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All of the images are licensed under creative commons and public domain licensing:
Alexandrov, Oleg. Illustration of a en:Simple Harmonic Oscillator, June 2, 2007. self-made with en:Matlab. Converted to gif animation with the en:ImageMagick convert tool (see the specific command later in the code). commons.wikimedia.org/wiki/Fil....
“Masses & Springs.” PhET. Accessed July 15, 2014. phet.colorado.edu/en/simulatio....
“Pendulum Lab.” PhET. Accessed July 15, 2014. phet.colorado.edu/en/simulatio....
Stündle. Deutsch: Animation Einer Pendelschwingung, June 17, 2011. Own work. commons.wikimedia.org/wiki/Fil....
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That was so helpful, very easy to understand, and I like the way you did recaps so we didn't have to pause and go back through the video. THANK YOU YOURE AWESOME!!!!
Your explanations and videos are so incredibly helpful. Thank you for taking the time to make and share them.
Even 8 years later this is still so helpful, thank you!
Love when professors summarize what we learned, great explanation!
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Thank you so much. This was the only video I could find that explained the concepts in detail rather than all the calculus, which I didn't need to know.
Calculus in physics is really boring and somewhat unnecessary. I'm in a calc based physics class and most of our problems are solved algebraically. If it involves motion and you take derivative to get velocity and acceleration, then that's not too bad but when it gets to torque, angular momentum and you integrate to get an answer then it's not easy. Sometimes because it's a vector, you integrate with I hat, j hat notation. Very confusing. I wish all physics were solved by algebra.
If you were hoping if your SHM tutorial video was helpful, then you should know that as a production that took planning, time, and effect to achieve a compact analysis of SHM, this one is by far and away, simple the best I've the found on UA-cam animated.
The virtual simulations with the software interface clearly visible makes the point of what parameters are relavent even though they were not used.
The short videos of a really nice air track using the more expensive sled with the LED accelerometer was something special because that option usually gets dropped in a school lab facing budget constraints. The LED accelerometer clearly showing its maximum acceleration, even thought the sled is being held still. That really drove home the point that F=ma and a was clearly not zero even though the velocity was.
My original intent was to just listen to the lecture and visual it with my eyes closed. But now I get your format of starting the lecture with a flow down chart that breaks a concept into decrete parts that are easier to digest then recall as a graph that has a foundation and builds a foundation that supports the claims.
Spring SHM period, T sub s, depends on the oscillating mass, m, and the spring constant, k, according to the relationship 2×pi times the quantity square root of the mass,m, divided by the spring constant,k. The period increases (oscillates slower in seconds) with increased mass, mn and decreases (oscillates faster in seconds) with increased spring constant, k.
(Small angle) Pendulum SHM period, T sub p, depends on the length, l, and the gravitational acceleration, g, according to the relationship 2×pi times the quantity of the square root of the ratio of length, l, divided by gravitation acceleration, g.
Got it. Thank you very much.
This was great! Cleared up all my questions about harmonic motion! Thank you!!!
Absolutely amazing video! Love the examples and love the explanations.
I had a test tomorrow and I was struggling. This video saved my grade. Thank you so much for all you do!
I understood this as soon as you showed the example with the light-up acclerometer! Thanks!
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This was so helpful, Im supposed to be helping out a friend in IB Physics amd this was GREAT review!
Thank you so much! This explanation and the visuals were straight-forward when my mathematical terms were not.
Super and very great Physics demonstration and even dummies will understand effectively. Thanks, well done.
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Hehe. I understood the whole concept now. Thank You for such an awesome Video. I really liked that demonstration of SHM and simulators as well. It actually made the whole concept easy. Thank You once Again :D
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Excellent explanation. Thanks!
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I just want to say thankyou... that was really helpful
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This expression tells us that the period increases as m increases, meaning that oscillations are slower for greater masses than for smaller ones, as one might intuitively expect. Our expression for the period also agrees with our intuition in saying that the period decreases as k increases, meaning that oscillations are faster for a stiffer spring with its larger k than for a weaker spring with its smaller k.
Thank you. You made it so simple.
was really helpful!! better than hours of lecture😊
Great video! Thank you so much!
Thanks fam for the dope graphics.
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Thanks a lot Sr it was of great help. I appreciate a lot
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So basically, any motion where the acceleration of a particle is proportional to its distance from an equilibrium position is simple harmonic motion Eg. A child being pushed on a swing and a pedulum
And then there are factors that affect this such as the mass, the length of the swing etc.
thanks Mr.anderson very helpful
Awesome video!!!!
thanks mr. andersen!
Watching this the night before my first year university physics midterm, pray for me
i pray that everything you do in life will be filled with blessings in Jesus' name... thank you for thisss😩🙌🏾
outstanding video...thank you :)!
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Nice job. Does AP Physics 1 account for the fact that the period equation for a simple pendulum assumes small amplitude oscillations such that sin(theta) is approximately equal to theta? I really like the embedding of the PhET sims!
I enjoyed it.
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FireVortex720 talking about the red eyes
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A perfect example and definition.
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Thank u very clear explanation
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Thanks a very clear Teaching method
People like you should be teachers and would actually deserve higher salaries because you know how to teach. Most teachers make things more confusing than they are and put no effort in.
very helpful. thanks
very well said
thank you Sooo much ,this is a lot I'm my foundation
So for the pendulum problems, does that mean that no matter what angle you drop the mass from as long as its the same length rope and same gravity it will have the same period?
This helps a lot for me
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8 years ago
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What is the formula or how to we calculate for a simple pendulum swinging to the time it practically stopped at starting at an angle of 20 degrees ; UNCRITICALLY DAMP, LEFT ALONE BY ITSELF TO STOP in air at STP? Thank You.
Thank you!
Hi! Could you please help me to sole the following problem? 3. A spring and mass system with a mass of 2.5 kg is observed to have a frequency of 5.5 Hz. What is the stiffness constant of the spring? Thank You.
Yeah very helpful mahn
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Your video is concise, organized and extremely helpful. Please continue to do more videos.
great video