00:01
As per the question, a disk is there, okay, having mass capital m, radius r and angular speed omega, okay? it's moving on the horizontal plane.
00:10
Okay, so this is the plane x, y, okay, this is the x, y, and this is the x, y, and this is the disc, okay, having mass capital m, and moving at angular velocity, omega, okay? so what will be the angular momentum of the disk about the origin? so about the origin, first of all we can say it is moving in a plane, so there will be a translation motion and a rotation motion, okay? so the angular momentum l, that will be l due to translation, okay, plus angular momentum due to rotation, okay? so we know that the angular momentum due to translation, it will be mvr, okay? m that is the mass of the disk, v that is the linear speed and r that is the radius of the disk.
01:03
Plus due to rotation it will be at the origin, i c, it will be ic into omega, and here i, that is, moment of inertia it will be half m, r square, and multiplied by omega.
01:19
And v that is the linear velocity can be computed by omega r where omega is angular velocity and r is the radius so it will be m okay v equals v will be omega r so it will be omega r and r plus half m r square omega so it will be m r square omega plus unby two m r square omega okay so it will be one unit and half unit so so it will be 3 by 2 unit...