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Two particles of mass m each are rotatin...

Two particles of mass m each are rotating parallel to xz plane in circle of radius R as shown. They are connected by a mass less rod of length `2sqrt(2) R` as shown.

Consider the situation when the particles are at (R, R,0) and (-R, -R, 0). Neglect gravity and any kind of friction. Answer following questions
The angular velocity vector of the system of two particles and the total angular momentum of system about origin make an angle of

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