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The strings AB and AC each of length 40 cm connect a ball of mass 200 g to a vertical shaft as shown. When the shaft rotates at a constant angular speed $$\omega$$, the ball travels in a horizontal circle with the strings inclined at $$\gamma = 30^\circ$$ to the shaft. If the tension in the string AC is 4 N, that in the string AB and the angular speed $$\omega$$ respectively, are
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