Halliday, Resnick & Walker — Rolling, Torque, and Angular Momentum: Problem 26_E

At the instant of Fig. 11.18, a 2.0 kg particle $P$ has a position vector $\vec{r}$ of magnitude 3.0 m and angle $\theta_1 = 45^\circ$ and a velocity vector $\vec{v}$ of magnitude 4.0 m/s and angle $\theta_2 = 30^\circ$. Force $\vec{F}$, of magnitude 2.0 N and angle $\theta_3 = 30^\circ$, acts on $P$. All three vectors lie in the $xy$ plane. About the origin, what are the (a) magnitude and (b) direction of the angular momentum of $P$ and the (c) magnitude and (d) direction of the torque acting on $P$?