Angular momentum is de ned as Torque about a point S is equal to the time derivative of the angular momentum about S When torque about S is zero angular momentum is constant Lecture 22 Summary 1 2 Rigid symmetric body undergoing x axis rotation 3 Main idea xed axis rotation Overview Torque and angular momentum Cross product Angular momentum of a point particle Magnitude a momentum arm b perpendicular momentum Angular Momentum and Circular motion of a Point particle Fixed axis of rotation z axis Angular velocity Velocity Angular momentum about the point S Angular momentum of a ring Angular Momentum of Cylindrically Symmetric Body Kinetic Energy of Cylindrically Symmetric Body Symmetric body axis body rotation Point object A circular ring of radius R and mass M rotates at an angular speed about the z axis in a plane parallel to but a distance h above the x y plane Find the magnitude and the direction of the angular momentum L relative to the origin Divide ring into pairs of small objects with mass
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