87. Review. An electric dipole in a uniform horizontal electric field is displaced slightly from ts equilibrium position as shown in Figure P23.87, where θ is small The separation of the charges is 2a, and each of the two particles has mass m. (a) Assuming the dipole is released from this position, show that its angular ori entation exhibits simple harmonic motion with a frequency What If (b) Suppose the masses of the two charged particles in the dipole are not the same even though each particle continues to have charge q. Let the masses of the particles be m and m2. Show that the fre quency of the oscillation in this case is E mm 2amm2 Figure P23.87

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87. Review. An electric dipole in a uniform horizontal
electric field is displaced slightly from ts equilibrium
position as shown in Figure P23.87, where θ is small
The separation of the charges is 2a, and each of the
two particles has mass m. (a) Assuming the dipole is
released from this position, show that its angular ori
entation exhibits simple harmonic motion with a
frequency
What If (b) Suppose the masses of the two charged
particles in the dipole are not the same even though
each particle continues to have charge q. Let the
masses of the particles be m and m2. Show that the fre
quency of the oscillation in this case is
E mm
2amm2
Figure P23.87
Transcribed Image Text:87. Review. An electric dipole in a uniform horizontal electric field is displaced slightly from ts equilibrium position as shown in Figure P23.87, where θ is small The separation of the charges is 2a, and each of the two particles has mass m. (a) Assuming the dipole is released from this position, show that its angular ori entation exhibits simple harmonic motion with a frequency What If (b) Suppose the masses of the two charged particles in the dipole are not the same even though each particle continues to have charge q. Let the masses of the particles be m and m2. Show that the fre quency of the oscillation in this case is E mm 2amm2 Figure P23.87
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