1. The problem statement, all variables and given/known data
Two points, each of charge Q, are fixed at either end of a frictionless rod of length 2R. Another point charge, of charge q (not Q) is free to move along the rod.
Show that if charge q is displaced a small distance x (0<x<<R) from the centre of the rod, it will undergo simple harmonic motion.
Derive an expression for the period of oscillation.
2. Relevant equations
3. The attempt at a solution
Uhh.. I really have no idea how to start this.
I could use F=(kQq)/R2 (ignoring x due to its small size relative to R) to find the force between the particles, but I would have no idea how to relate this to SHM
Two points, each of charge Q, are fixed at either end of a frictionless rod of length 2R. Another point charge, of charge q (not Q) is free to move along the rod.
Show that if charge q is displaced a small distance x (0<x<<R) from the centre of the rod, it will undergo simple harmonic motion.
Derive an expression for the period of oscillation.
2. Relevant equations
3. The attempt at a solution
Uhh.. I really have no idea how to start this.
I could use F=(kQq)/R2 (ignoring x due to its small size relative to R) to find the force between the particles, but I would have no idea how to relate this to SHM
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