Angular Momentum

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Physics Newtonian Mechanics Angular Momentum

	Review of Rotational Dynamics:
	(1) The total kinetic energy of a rigid object rolling on a rough surface without slipping equals to the rotational kinetic energy about its center of mass (0.5I_CMω²), plus the translational kinetic energy of the center of mass (0.5MV_CM²) So, K = 0.5[I_CMω² + MV_CM²] (2) The torque due to a force about an origin in an inertial frame is defined to be (3) The angular momentum of a particle having a linear momentum p = mv is given as: where r is the position vector of the particle relative to an origin in an inertial frame. (4) The net external torque acting on a particle or rigid object is equal to the time rate of change of its angular momentum: (5) The z- component of angular momentum of a rigid object rotating about a fixed z-axis is: where I is the moment of inertia of the object about the axis of rotation and ω is its angular speed. (6) The net external torque acting on a rigid object equals to the product of its moment of inertia about the axis of rotation and its angular acceleration: (7) If the net external torque acting on a system is zero, then the total angular momentum of the system is constant: