Moment of Inertia For Slender Rod - Formula Derivation Via Integration Physics With Calculus

This physics with calculus video tutorial explains how to derive the formula for the moment of inertia of a slender rod with the axis of rotation passing through one end and through the center. Intro to Rotational Motion: https://www.youtube.com/watch?v=WQ9AH2S8B6Y Angular Velocity: https://www.youtube.com/watch?v=d5VXZGinKSk Angular Acceleration: https://www.youtube.com/watch?v=a99sO7pogXA Rotational Kinematics: https://www.youtube.com/watch?v=0El-DqrCTZM Intro to Torque: https://www.youtube.com/watch?v=jg4e8W44_E4 Intro to Inertia: https://www.youtube.com/watch?v=Ic_wFYu8xVs Parallel Axis Theorem: https://www.youtube.com/watch?v=JrkimXqnCLw ________________________________________________________________________________________ Rotational Dynamics: https://www.youtube.com/watch?v=dbvr-L5rxdg Rotational Kinetic Energy: https://www.youtube.com/watch?v=REIP2mf6sIQ Rotational Power, Work, & Energy: https://www.youtube.com/watch?v=KbYejyiRsFw Work Done By a Constant Torque: https://www.youtube.com/watch?v=-DPthKuQGyQ Angular Momentum & Torque: https://www.youtube.com/watch?v=WzjIMuf-yuo What Is Angular Momentum? https://www.youtube.com/watch?v=4GgJ6EgAmFg Angular Momentum Problems: https://www.youtube.com/watch?v=QghXDDJtJeQ Angular Impulse: https://www.youtube.com/watch?v=RQL_0MMbxkc Rotational Motion - Review: https://www.youtube.com/watch?v=SPSvosj6Snc ________________________________________________________________________________________ Introduction to Momentum: https://www.youtube.com/watch?v=NIVNfI0RN2k Impulse and Momentum: https://www.youtube.com/watch?v=hODlmGK7pl8 Conservation of Momentum: https://www.youtube.com/watch?v=Fp7D5D8Bqjc Rocket Propulsion: https://www.youtube.com/watch?v=kvAf-Xouj8s What Really Is a Force? https://www.youtube.com/watch?v=mril0zFVJXQ Inelastic Collisions: https://www.youtube.com/watch?v=C1XuwHLacao Impulse Momentum Theorem: https://www.youtube.com/watch?v=1WIECGg71WY Force-Time Graphs: https://www.youtube.com/watch?v=Bv9ry123zck Ballistic Pendulum Problem: https://www.youtube.com/watch?v=PUNKqLkELbQ Elastic Collisions: https://www.youtube.com/watch?v=CFbo_nBdBco 2D Collision Problems: https://www.youtube.com/watch?v=9YRgHikdcqs Impulse & Momentum Test Review: https://www.youtube.com/watch?v=FfaEbqmvKQA _________________________________________________________________________________________ Physics - Basic Introduction: https://www.youtube.com/watch?v=b1t41Q3xRM8 How To Convert Units: https://www.youtube.com/watch?v=eK8gXP3pImU Kinematics In One Dimension: https://www.youtube.com/watch?v=dHjWVlfNraM Vectors - Basic Introduction: https://www.youtube.com/watch?v=EwSHKuSxX_8 Projectile Motion Problems: https://www.youtube.com/watch?v=tfItlGfPHyo Free Body Diagrams: https://www.youtube.com/watch?v=52R61aSWHg0 Pulley Physics Problems: https://www.youtube.com/watch?v=N6IhkTjWrd4 Work, Energy, and Power - Review: https://www.youtube.com/watch?v=_MR1Dp8-F8w Hooke's Law & Elastic PE: https://www.youtube.com/watch?v=OmMIOZtM1ks Conservation of Energy: https://www.youtube.com/watch?v=_DwG8fukuj4 ________________________________________________________________________________________ SAT Math Test Prep: https://www.youtube.com/watch?v=fTGuTEQCsZY ACT Math Test Prep: https://www.youtube.com/watch?v=SsA7rZ8kczM GRE Math Test Prep: https://www.youtube.com/watch?v=z6lbrzaCbdk Physics Final Exam Review: https://www.youtube.com/watch?v=CwkhvFlNFp0 Physics PDF Worksheets: https://www.video-tutor.net/physics-basic-introduction.html