Meriam, Kraige & Bolton — Kinetics of Particles: Problem 3_181

3/181 A particle with a mass of 4 kg has a position vector in meters given by \( \mathbf{r} = 3t^2\mathbf{i} - 2t\mathbf{j} - 3t\mathbf{k} \), where \( t \) is the time in seconds. For \( t = 3\text{ s} \) determine the magnitude of the angular momentum of the particle and the magnitude of the moment of all forces on the particle, both about the origin of coordinates.