(10 points) A particle of mass 2 kg is traveling with a constant velocity v = (5i - 2j) m/s. When the particle is at the position (x, y, z) = (2, 0, 1), what is its angular momentum about the origin in unit vector notation?
Answer: l = (4j + 10j - 8k) kgm2/s
2. (10 points) A particle of mass 4 kg is moving with velocity v = (3i) m/s. What is the angular momentum of the particle relative to origin when it is at position r = (2j + 7k) m?
Answer: (84j - 24k) kgm2/s
3. (10 points) A particle is located at r = (-4.0 i + 7.0 j + 6.0 k) cm. A force F = (5.0 i - 3.0 j + 2.0 k) N acts on it. What is the torque with respect to origin in unit vector notation?
Answer: (32.0 i + 38.0 j - 23.0 k)x10-2 N.m
4. (10 points) A particle of mass 3 kg is moving with velocity v = (3i + 2j) m/s. What is the angular momentum of the particle relative to origin when it is at position r = (-2i + 7j) m?