A 0.7-lb particle is located at the position r1 =2i + 3j + k ft and has the velocity v1

QUESTION:

A 0.7-lb particle is located at the position \(\mathbf{r}_{1}=2 \mathbf{i}+3 \mathbf{j}+\mathbf{k}\) ft and has the velocity \(\mathbf{v}_{1}=\mathbf{i}+\mathbf{j}+2 \mathbf{k}\) ft /sec at time t = 0. If the particle is acted upon by a single force which has the moment \(\mathbf{M}_{O}=(4+2 t) \mathbf{i}+\left(3-t^{2}\right) \mathbf{j}+5 \mathbf{k}\) lb-ft about the origin O of the coordinate system in use, determine the angular momentum about O of the particle when t = 4 sec.