A small ball of mass kg having a charge of is suspended by a string of length m. Another identical ball having the same charge is kept at the point of suspension. Determine the minimum horizontal v

Question

A small ball of mass  kg having a charge of  is suspended by a string of length  m. Another identical ball having the same charge is kept at the point of suspension. Determine the minimum horizontal velocity (in m/s) which should be imparted to the lower ball, so that it can make a complete revolution. (Take  m/s².)

Canvas Classes · Accepted Answer

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- A charged ball on a string (, , ) with an identical charge at the pivot. Find the minimum speed at the bottom for a complete vertical circle.

💡 The Coulomb force is radial (the separation is the fixed length ), so it only changes the tension, not the energy. At the top, set tension ; then use energy conservation.

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 N; at the top: 
 m/s

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