Meriam, Kraige & Bolton — Kinetics of Particles: Problem 3_183

3/183 A 0.4-kg particle is located at the position \(\mathbf{r}_1 = 2\mathbf{i} + 3\mathbf{j} + \mathbf{k}\) m and has the velocity \(\mathbf{v}_1 = \mathbf{i} + \mathbf{j} + 2\mathbf{k}\) m/s at time \(t = 0\). If the particle is acted upon by a single force which has the moment \(\mathbf{M}_O = (4 + 2t)\mathbf{i} + (3 - \frac{1}{2}t^2)\mathbf{j} + 5\mathbf{k}\) N·m about the origin \(O\) of the coordinate system in use, determine the angular momentum about \(O\) of the particle when \(t = 4\) s.