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The sphere at P is given a downward velocity v0 and swings in a vertical plane at the end of a rope of l = 1 m attached to a support at O. The rope breaks at angle 30° from horizontal, knowing that it can withstand a maximum tension equal to three times the weight of the sphere. Then the value of v0 will be: open parentheses g equals fraction numerator pi to the power of 2 end exponent m over denominator s to the power of 2 end exponent end fraction close parentheses

  1. pi/2 m/s    
  2. 2pi/3 m/s    
  3. square root of 3 divided by 2 end root pi m divided by s    
  4. None of these    

The correct answer is: square root of 3 divided by 2 end root pi m divided by s

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