Momento de Inércia – Disco, Anel e Cilindro #Dedução passo a passo

A super-step-by-step and detailed derivation of the moment of inertia of a ring, a disk, and a cylinder, with the axis of rotation passing through the center of mass. Undergraduate students in the exact sciences, such as mathematics, physics, chemistry, and engineering, often take courses that incorporate integral and differential calculus in their first semesters. Typically, many students struggle with this subject, such as with basic mathematics itself and with applying new concepts they learn related to integral and differential calculus. This video demonstrates a practical application of integral and differential calculus in physics to calculate the moment of inertia of a ring, a disk (solid and hollow), and a cylinder (solid and hollow). First, the derivation of the equation that describes the moment of inertia passing through the center of mass of a hollow disk (a disk with a hole in the center) is demonstrated in a detailed step-by-step manner. In this step-by-step guide, you can learn how to set up the integral, how to describe the differential part, how to define and apply the limits of integration, and, of course, how to arrive at the final equation for the moment of inertia of a hollow disk (a disk with a hole in the center). This equation is a general equation, from which it is easily possible to demonstrate the equations that describe the moment of inertia of a ring, a solid disk (without a hole), a solid cylinder, and a thick, hollow cylindrical tube along the axis of rotation. These are classic physics exercises that are solved assuming that the ring, the disk, and the cylinder have uniform and constant mass distributions. Check out the demonstration! 🎬Other videos about equation DEDUCTIONS:    • Momento de Inércia Placa Fina (Dedução pas...   Thin Plate Moment of Inertia (Step-by-Step Deduction)    • Espelhos Esféricos - Dedução da Equação de...   Spherical Mirrors - Deduction of the Gauss Equation and Linear Augmentation    • Aceleração Centrípeta - Dedução da equação   Centripetal Acceleration - Deduction of the equation    • Máquina de Atwood - Dedução passo a passo ...   Atwood Machine - Step-by-step deduction of the equations    • Velocidade média e Média de Velocidade   Average Velocity and Average Speed    • Plano Inclinado Sem Atrito - Fácil, deduçã...   Frictionless Inclined Plane - Easy, super step-by-step deduction    • Empuxo - Gelo e Iceberg: percentual submerso   Buoyancy - Ice and Iceberg: Percentage Submerged    • Associação de Resistores - Série e Paralel...   Resistor Association - Series and Parallel, Deduction of Equations 👍 Do you like the channel? Want to help!? ▶️ THEN SUBSCRIBE TO THE CHANNEL! 👍 LIKE THE VIDEOS! ☝️ It's free and greatly helps with engagement! 😃    / fisicaeexercicio   🔔 ACTIVATE THE BELL to receive notifications of new content! ✔️ SHARE THE VIDEOS WITH YOUR FRIENDS! ❓ REQUESTS and SUGGESTIONS for videos with new content → Questions about the content, constructive criticism, and suggestions are welcome. → Ask in the video comments! ============================================= CONNECT WITH PROF. KLEBER ERSCHING: Instagram:   / prof.ersching   Facebook:   / prof.ersching   Facebook:   / fisicaeexercicio   Website: https://sites.google.com/view/fsicaee... =============================================== Related Searches: moment of inertia, ring moment of inertia, disk moment of inertia, cylinder moment of inertia, deduction of the moment of inertia, how to calculate the moment of inertia, application of integral calculus. step-by-step deduction, rotational dynamics, axis of rotation, application of integral, parallel axis, 00:00 - Introduction 00:13 - Moment of inertia: Thin hollow disc 05:10 - Moment of inertia: Hollow cylinder 06:14 - Moment of inertia: Ring 06:46 - Moment of inertia: Filled disc 07:13 - Moment of inertia: Filled cylinder