At time t = 11.5 sec, a particle of mass M = 5 kg is atthe position (x,y,z) = (4,4,6) m and has velocity (2,1,-2) m/s.

1) What is the x component of the particle's angularmomentum about the origin?

Answer: -70 kg m²

2) What is the y component of the particle's angularmomentum about the origin?

Answer:100 kg m²

3) What is the z component of the particle's angularmomentum about the origin?

Answer: -20 kg m²

4) Now an identical particle is placed at (x,y,z) =(-4,-4,-6) m, with velocity (-2,-1,2)m/s. What is the x component of the pair's totalangular momentum about the origin?

Answer: -140 kg m²

5) What is the y component of the pair's total angularmomentum about the origin?

Answer: 200 kg m²

6) What is the z component of the pairs's total angularmomentum about the origin?

Answer: -40 kg m²

7) Finally a thin rod of mass 11 kg is added between the twoparticles Since the particles are moving perpendicular to the lineseparating them and in opposite directions (you should convinceyourself that this is true), then the particles + rod systemrotates about its center of mass. What the angular frequency ofrotation of the rod + particles system? (Note: The particles aremoving perpendicular to the line separating them and in oppositedirections (you should convince yourself that this is true), thenthe particles + rod system rotates about its center of mass.)

Answer: 0.364 rad/sec

8) What is the magnitude of the total angular momentum of thesystem (particles plus rod)?

Please solve number 8!