11.2 Exercise 13

Suppose the particles in the preceding problem have masses $m_{1} = 0.10 \text{kg}, m_{2} = 0.20 \text{kg}, m_{3} = 0.30 \text{kg},$ $m_{4} = 0.40 \text{kg}$. The velocities of the particles are $v_{1} = 2.0 \hat{i} \text{m} / \text{s}$, $v_{2} = \left(3.0 \hat{i} - 3.0 \hat{j}\right) \text{m} / \text{s}$, $v_{3} = −1.5 \hat{j} \text{m} / \text{s}$, $v_{4} = −4.0 \hat{i} \text{m} / \text{s}$. (a) Calculate the angular momentum of each particle about the origin. (b) What is the total angular momentum of the four-particle system about the origin?