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JEE Advanced2011PhysicsMotion in Two DimensionsActual

A ball of mass (m) 0.5 ~kg is attached to the end of a string having length (L) 0.5 ~m . The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is 324 ~N . The maximum possible value of angular velocity of ball (in rad/s) is

Options

  1. A9
  2. B18
  3. C27
  4. D36

Correct answer

D. 36

Step-by-step solution

T component will cancel mg . T component will provide necessary centripetal force to the ball towards centre C . array rlrl & & T & =m r ^2=m(l ) ^2 & or & T & =m l ^2 & & & = T m l & or & _ & = T_ m l = 324 0.5 0.5 & = & 36 rad / s array Correct option is (d). Analysis of Question (i) Question is simple. (ii) This is called the conical pendulum. (iii) The interesting fact in this problem is that or T is independent of . T If is increased, T will also increase.

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