LOOPING THE LOOP!

A particle of mass m=1 kgm=1\text{ kg} and charge q=3 Cq=3\text{ C} is hung from a light inextensible string of length l=2 ml=2\text{ m}. The entire system is placed in a uniform horizontal electric field of magnitude 8 V/m8\text{ V/m}. What must be the minimum initial horizontal velocity with which the particle must be projected so that it completes a vertical circle?

Details and Assumptions

  • The gravitational acceleration is g=10 m/s2g=-10\text{ m/s}^2.
  • The particle is initially at the lowest point.
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