A particle of mass m = 10-³kg and charge qo = -10-¹⁰ C is placed at the center of a ring of radius R = 10 cm, on which the charge is uniformly distributed q = 10-8 C. The particle is moved to a distance xo = 0.5 cm along the axis and dropped. Prove that the particle oscillates with harmonic motion around the origin and determine the period T of the small oscillations and the kinetic energy of the particle as it passes through the origin. Neglect the effect of gravity. + + R+ H 90 28/30

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A particle of mass m = 10-³kg and charge qo -10-1⁰ C is
placed at the center of a ring of radius R = 10 cm, on which the
charge is uniformly distributed q = 10-8 C. The particle is moved
to a distance xo = 0.5 cm along the axis and dropped. Prove that
the particle oscillates with harmonic motion around the origin and
determine the period T of the small oscillations and the kinetic
energy of the particle as it passes through the origin. Neglect the
effect of gravity.
+
+
R+
+
H
+
0
9⁰
=
28/30
Transcribed Image Text:A particle of mass m = 10-³kg and charge qo -10-1⁰ C is placed at the center of a ring of radius R = 10 cm, on which the charge is uniformly distributed q = 10-8 C. The particle is moved to a distance xo = 0.5 cm along the axis and dropped. Prove that the particle oscillates with harmonic motion around the origin and determine the period T of the small oscillations and the kinetic energy of the particle as it passes through the origin. Neglect the effect of gravity. + + R+ + H + 0 9⁰ = 28/30
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