A ball of mass M is attached to string of length R andnegligible mass. Ball move

Question

A ball of mass M is attached to string of length R andnegligible mass. Ball moves clockwise in verticalcircle. When ball is at point P it is on - x axis on circle ( 1/4 way around circle in clockwise direction), whenball is at pointQ it is at bottom of circle and when ball is at Zit is at top of circle. What is an expression for minimum speed ball can have at pointZ without leaving circular path What is expression for maximum speed ball can have at Qwithout breaking string If string breaks at point P describe motion of ballimmediately after string breaks. A ball of mass M is attached to string of length R andnegligible mass. Ball moves clockwise in verticalcircle. When ball is at point P it is on - x axis on circle ( 1/4 way around circle in clockwise direction), whenball is at pointQ it is at bottom of circle and when ball is at Zit is at top of circle. What is an expression for minimum speed ball can have at pointZ without leaving circular path What is expression for maximum speed ball can have at Qwithout breaking string If string breaks at point P describe motion of ballimmediately after string breaks.

Explanation / Answer

Minimum speed required for ball with outleaving circular path at point Z is              N > 0     So that              v = rg Minimum speed required for ball with outleaving circular path at point Q is                     v = 5rg                     v = 5rg

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