Physics

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A stiff uniform wire of mass M_0 and length L_0 is cut, bent, and the parts soldered together so that it forms a circular wheel having four identical spokes coming out from the center. None of the wire is wasted, and you can neglect the mass of the solder.

What is the moment of inertia of this wheel about an axle through its center perpendicular to the plane of the wheel?
Express your answer in terms of the given quantities.

If the wheel is given an initial spin with angular velocity (omega)_0 and stops uniformly in time T, what is the frictional torque at its axle?
Express your answer in terms of the given quantities.

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