A capacitor consists of two parallel identical plates with area A and mass m. The plates are movable and initially separated by a distance d (d^2 is much smaller than A). Between the plates, there is an insulator spring connecting the two plates. Its spring constant is k and its relaxed length is d. The system is placed in vacuum.
The capacitor is then connected to a voltage source with emf V. As it's connected, the two plates start oscillating.
Determine the condition so that the plates can do oscillation!
(Only consider one dimensional movement and ignore energy loss)
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