abj sir's mechanics in order (from Mohit Tyagi/Competishun YT channel)

Currently Playing: 3 Perpendicular Axis Theorem & Parallel Axis Theorem | Rotational Motion Class 11 | JEE Mains & Adv.

🎓 COMPLETE YOUR JEE PREPARATION WITH COMPETISHUN Watch complete JEE lectures FREE with PAARAS Batch and access Competishun Courses, Test Series, PYQs & free Study Material — all in one place. 🚀 📱 COMPETISHUN APP 👉 https://play.google.com/store/apps/details?id=xyz.penpencil.competishun 💻 STUDY ON WEB 👉 https://i.competishun.com 🌐 EXPLORE COMPETISHUN 🎯 All Courses 👉 https://competishun.com/courses/ 📝 JEE & Other Test Series 👉 https://competishun.com/test-series/ 📚 Competishun Books & Study Material 👉 https://competishun.com/buy-books/ 🎁 Free Study Resources 👉 https://competishun.com/free-resources/ 🌐 Official Website 👉 https://competishun.com ━━━━━━━━━━━━━━━━━━ 📞 ADMISSION & SUPPORT 8888-0000-21 7410-900-901 7410-900-906 7410-900-907 7410-900-908 🔔 Subscribe to the channel for complete JEE lectures, preparation strategies, exam updates and expert guidance from the Competishun faculty. ------------- Topics covered in this Rotational Motion Class 11 lecture by ABJ sir IITD with timestamp: 00:00 - 06:52 Perpendicular Axis Theorem: For any plane body, the moment of inertia about any of its axes which are perpendicular to the plane is equal to the sum of the moment of inertia about any two perpendicular axes in the plane of the body which intersect the first axis in the plane. 06:52 - 10:45 RBD Problem 1: Based on the perpendicular axis theorem. In this problem, we have a uniform ring of mass m and radius R. We have to find the moment of inertia of the ring wrt the axis passing through its center and along the plane of the ring. 10:45 - 13:04 RBD Problem 2: In this problem, we have a uniform Disc of mass m and radius R. We have to find the moment of inertia of the Disc wrt the axis passing through its center and along the plane of the Disc. 13:04 - 18:22 RBD Problem 3:In this problem, we have a uniform rectangular plate of mass m, length l, and width. We have to find the moment of inertia of the rectangular plate wrt the axis passing through different points along the plane of the plate or perpendicular to the plate. 18:22 - 26:37 RBD Problem 4: In this problem, we have a uniform square plate of mass m and length l. We have to find the moment of inertia of the square plate wrt the axis passing through different points along the plane of the plate/ perpendicular to the plate. 26:37 - 30:26 RBD Problem 5: In this problem, 30:26 - 36:48 Parallel Axis Theorem: The moment of inertia of a body about an axis parallel to the body passing through its center is equal to the sum of the moment of inertia of the body about the axis passing through the center and the product of the mass of the body times the square of the distance of between the two axes. 36:48 - 43:39 RBD Problem 6/7: Based on the parallel 43:39 - 46:50 RBD Problem 8: In this problem, we have a hollow/solid sphere of mass m and radius R and we have to find the moment of inertia of the sphere wrt the axis passing tangential to the sphere. 46:50 - 49:35 RBD Problem 9: In this problem, we have a uniform hollow/solid cylinder of mass m and radius R and we have to find the moment of inertia of the cylinder wrt the axis passing tangential to the cylinder along its length. 49:35 - 55:20 RBD Problem 10: In this problem, we have a uniform semicircular disc of mass m and radius R. We have to find the MoI about an axis passing through its COM and perpendicular to the plane of disc. 55:20 - 59:00 RBD Problem 11: In this problem, we have a object of mass m. There are two axis at a distance a and b from the COM. We have to find the MoI about the axis. (As per diagram) 59:19 - 01:09:45 RBD Problem 12: In this problem, we have a isosceles triangle of mass m and length l and We have to find the MoI about the axis passing along the different sides. (As per diagram) 01:09:45 - 01:17:55 RBD Problem 13: In this problem, we have a solid cylinder of radius R, length l and mass m with uniform distribution. We have to find the MOI as per the diagram. 01:17:55 - 01:26:18 Moment of Inertia with Cavity: In this example, there is a uniform sphere of radius R with spherical cavity of radius R/2. We have to find the MOI of the sphere wrt axis passing through the center of the sphere. 01:26:18 - 01:30:55 Radius of Gyration: The imaginary distance from the centroid at which the area of cross-section is imagined to be focused at a point in order to obtain the same moment of inertia. It is denoted by k.