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In: Physics

1. A system of three particles consists of masses Mi and coordinates (x1, x2, x3) as...

1. A system of three particles consists of masses Mi and coordinates (x1, x2, x3) as follows:

M1=m,(a,0,0) M2=3m,(0,a,a) M3=4m,(0,a,-a)

a) Calculate all elements of the inertia tensor for the system.
b) Find the principal moments of inertia and a set of ortho-normal principle axes.

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