1 Rigid Body | Moment of Inertia | Rotational Motion Class 11 | JEE Mains & Advanced

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Topics covered in this Rotational Motion Class 11 lecture by ABJ sir IITD with timestamp:

00:00 - 03:50 Introduction of chapter: Rotational Motion/ Rigid Body Dynamics has good weightage in JEE Mains & Advanced. The weightage of this chapter in JEE Advanced is very good compared to other chapters. This chapter is relatively hard/lengthy to others.
03:50 - 06:40 What is Rigid Body??: In physics, a rigid body, also known as a rigid object, is a solid body in which deformation is zero or negligible. The distance between any two given points on a rigid body remains constant regardless of external forces or moments exerted.
06:40 - 10:20 Motion of Particle of Rigid Body: On a Rigid Body, a point should be at rest with respect to another particle or perform circular motion.
10:28 - 14:23 Example of Motion of Particles of Rigid Body: ABJ Sir explains the motion of the particles of a rigid body using an example, in which there is a body, and the motion of the two particles of this body is analyzed by ABJ Sir.
14:23 - 19:06 Angular Velocity Concept for Motion of Particle of Rigid Body: ABJ Sir explains the Motion of rigid body particles using the angular velocity concept. The Relative Angular Velocity of two rigid body particles wrt a particle is zero.
19:06 - 25:48 Example 1: Motion of Particles of a Disc: Based on the motion of the particles of a rigid body. In this example, there is a disc of radius R, doing circular motion with angular velocity w (omega). ABJ Sir calculate the relative velocity of two particle of the disc.
26:28 - 30:09 Pure Translational Motion: In pure translational motion, every point in the body experiences the same velocity be it at any instant of time. ABJ Sir also derives the formulae of the momentum of the body, force on the body, and kinetic energy of the body.
30:09 - 35:50 Pure Rotational Motion: Pure Rotational motion is the type of motion about a fixed axis. All the particles constituting it undergoes circular motion about a common axis, then that type of motion is rotational motion. ABJ Sir also derives the formulae of the kinetic energy of the system.
35:50 - 41:23 Introduction of Moment of Inertia: The moment of inertia is defined as the product of mass of section and the square of the distance between the reference axis and the centroid of the section. It is a scalar quantity.
42:03 - 49:14 RBD Problem 1: Based on the moment of inertia of discrete particles. ABJ Sir derives the formulae of moment of inertia of the given system of two particles of mass m1 and m2 at a distance r.
49:56 - 54:56 Moment of Inertia (MoI) of Uniform Rod (Case 1): Derivation of the moment of inertia of a uniform rod of mass m and length l, wrt axis passing through itself along its length(according to given diagram).
55:06 - 01:03:18 Moment of Inertia (MoI) of Uniform Rod (Case 2): Derivation of the moment of inertia of a uniform rod of mass m and length l, wrt axis passing through one end of the rod and perpendicular to the length of the rod. This is a standard case, so student are advised to remember the formulae of the moment of inertia of the uniform rod.