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

26 At the instant of Fig. 11-33, a 2.0 kg particle P has a position vector \(\vec{r}\) of magnitude 5.0 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?