Question

Pleasee I need the best and correct answer for this problem ! I have 30 minutes for the answer!

A rigid body consists of 6 particles, each of mass m , attached to the
3 very lightweight rod ends in lengths of 2 a , 4 a and 6 a . The wands are tied together,
perpendicularly in their respective centers. There is no external torque acting on the system.
a- Calculate the inertia tensor of the system and demonstrate that the rods
are the main axes of the body.
b- What is Euler's equation for rotations with respect to
longest axis of the rigid body?
c- Calculate the angular momentum and kinetic energy for the system,
if the body rotates with OMEGAo angular velocity

The following is a summary of the
which passes between the origin and the point whose coordinates are ( a , 2a , 3a )

Answer 1

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