Simple Pendulum - Simple Harmonic Motion Derivation using Calculus

Calculus is used to derive the simple harmonic motion equations for a simple pendulum. Equations derived are position, velocity, and acceleration as a function of time, angular frequency, and period. Want Lecture Notes? www.flippingphysics.com/SHM-de... This is an AP Physics C: Mechanics topic.
Content Times:
0:00 Simple Harmonic Motion Review
1:57 Simple Pendulum Definition
3:28 Pendulum Restoring Force
4:45 Net Tangential Force
5:47 Bringing in Arc Length
7:20 Small Angle Approximation
9:10 Solving for Angular Frequency
10:03 Solving for Period
10:32 Position, Velocity, and Acceleration
12:03 Angular Velocity and Angular Frequency in the same equation?
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#Derivation #SimpleHarmonicMotion #SimplePendulum

[@oliviabranson3691]

Your videos constantly make me have "aha" moments. You explain things super well. Thank you!

[@FlippingPhysics]

You are welcome!

[@hagoraashraf5013]

This is just the week before my final exams in my first year at STEM high schools and this video explains the last L.O and it's just on time. Edit: Thanks a lot for the video and the like ❤❤

[@Kenzo_254]

You're the best teacher. Thanks a million 👍

[@FlippingPhysics]

Thank you! 😃

[@sammundays3835]

small angle approximation part helped me out so much thank you

[@Kevin_F92]

Thanks for sharing. Not sure if you take requests from your subscribers but if you do, I would love to see some videos on operational amplifiers

[@ammarm7251]

I like your videos. Very much better and interesting.

[@SamkeloSam-vv8ii]

What does " del T" mean while completing a table in simple harmonic motion .i know T is a period but that del confuse me

[@eldwinc1546]

funny and in-depth. ty

[@khanhhuyen8630]

7:03 L = ds/dθ => L ^2 = (ds/dθ)^2 why u write L?

[@petromyzontida.]

please try to keep the simple,creative neumericals for nerds.

[@juliawanja8114]

🎉🎉

[@user-hr3ps2cb7w]

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