Question: A small (point) mass m, which carries a charge q, is constrained to move vertically inside a narrow, frictionless cylinder (Figure). At the bottom of
A small (point) mass m, which carries a charge q, is constrained to move vertically inside a narrow, frictionless cylinder (Figure). At the bottom of the cylinder is a point mass of charge Q having the same sign as q.
(a) Show that the mass m?will be in equilibrium at a height y0 = (kqQ/mg)1/2.
(b) Show that if the mass m?is displaced by a small amount from its equilibrium position and released, it will exhibit simple harmonic motion with angular frequency ??= (2g/y0)1/2.
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a Using S F 0 and solving for y 0 mg kqQ y 0 2 b Let y y ... View full answer
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