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Question
A smple pendulum consists of a small sphere of mass m suspended by a thread of length l. The sphere carries a positive charge q. The pendulum is placed in a uniform electric field of strength E directed vertically downwards. Find the period of oscillation of the pendulum due to the electrostatic force acting on the sphere, neglecting the effect of the gravitational force.
Solution
`a_(eff) = g +(qE)/m`
`T = 2 pi sqrt(l/g_(eff)) = 2 pi sqrt(l/(g + (qE)/m)`
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