Each of the three balls has a mass \(m\) and is welded to the rigid equiangular frame of negligible mass. The assembly rests on a smooth horizontal surface. If a force \(\mathbf{F}\) is suddenly applied to one bar as shown, determine (a) the acceleration of point \(O\) and \((b)\) the angular acceleration \(\ddot{\theta}\) of the frame.

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m y m F-> Weld- b r 120 120 x m