An axis-symmetric satellite is freely spinning in the space.

[max1546]

Homework Statement

An axis-symmetric satellite is freely spinning in the space. The moments of inertia and the angular velocity at t=0 are as follows:
I_x=200kgm²
I_y=I_z=100kgm²
w_x=10rad/sec
w_y=1rad/sec
w_z=0
(a) Calculate the angular momentum of the satellite
(b) What is the nutation frequency observed in the body-fixed frame?
(c) Sketch the space cone and the body cone.
(d) Calculate the time required for the body cone to make a revolution around the space cone.

Homework Equations

The Attempt at a Solution

ƩM=ΩχH
H_x=I_xxw_x
H_y=I_yyw_y
H_z=I_zzw_z
I am not sure about how to deal with nutation frequency and the space/body cones

 

[Thaakisfox]

Try using the euler angles.