At time t = 9 sec, a particle of mass M = 3 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?

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

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

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?

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

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

7) Finally a thin rod of mass 9 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.)

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