We use integrals to derive the #rotationalinertia of a uniform, long, thin rod. And we demonstrate our answer is correct using a Rotational Inertia Demonstrator. Want Lecture Notes? https://www.flippingphysics.com/thin-rod-rotational-inertia.html This is an AP Physics C: Mechanics Topic.<br /><br />Content Times:<br />0:15 Rotational Inertia<br />0:42 Linear Mass Density<br />1:51 About Center of Mass<br />3:02 About an End<br />4:27 Rotational Inertia Demonstrator (RID)<br />6:09 About Center of RID<br />7:03 Comparing our answers<br />7:43 Demonstrating our answer<br /><br />Multilingual? Please help translate Flipping Physics videos!<br />http://www.flippingphysics.com/translate.html<br /><br />Graphing the Rotational Inertia of an Irregular Shape<br />https://www.flippingphysics.com/graphing-rotational-inertia.html<br /><br />Previous Video: How the Force of Tension on a Pulley Changes with Acceleration<br />https://www.flippingphysics.com/pulley-tension-force.html<br /><br />Please support me on Patreon!<br />http://patreon.com/FlippingPhysics<br /><br />Thank you to Christopher Becke for being my Quality Control Team for this video. http://flippingphysics.com/quality-control.html
