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An electric dipole with atomic charges +q and -q are fixed to the ends of a rigid neutral molecule with length C. The mass of the charges are Nm and the mass of the rigid rod-like mnolecule is M, note that N is the number of nucleons in each of the two charged atoms. The electric dipole is set oscillating in a uniform electric field, E. The net torque exerted on the dipole is 7 = 7xE. Find the simple harmonic oscillation equation for the orientation of the dipole, the solution to the D.E., and the angular frequency in terms of the given information. Be sure to include all undetermined coefficients. -4 +4 > axis of oscillation diagram of dipole during oscillition +4 axis of oscillation < dipole moment of ebctic dipede e - P = 9 %3D Yerque acting an dipal = = P XÈ

An electric dipole with atomic charges +q and -q are fixed to the ends of a rigid neutral molecule with length C. The mass of the charges are Nm and the mass of the rigid rod-like mnolecule is M, note that N is the number of nucleons in each of the two charged atoms. The electric dipole is set oscillating in a uniform electric field, E. The net torque exerted on the dipole is 7 = 7xE. Find the simple harmonic oscillation equation for the orientation of the dipole, the solution to the D.E., and the angular frequency in terms of the given information. Be sure to include all undetermined coefficients. -4 +4 > axis of oscillation diagram of dipole during oscillition +4 axis of oscillation < dipole moment of ebctic dipede e - P = 9 %3D Yerque acting an dipal = = P XÈ

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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> axis of oseilion diagam of dipele during oscillation +9 > axis of oscillation & dipole moment of eltie dipode - P =q Yorqus acting an dipel = = P Ê ndrtia of our elbchie dipale about avis of oscillation and ** angulan velonity id'o is amgelen accalination So wi cam say the negalis sign is the brcause Yongu octing on dipol is Aastaning tague It is trying to bring buck elichie dipole into equilibaium position when it is suftering an angular displacement of 'e I die = -9JE0 whee 9,2, E and I ane constant on W:V 1E * - - a now this spuotion lork srodtly hke squation of SHM which is dx: -wx whee xis linen displocement thus es = VIE s angulen fruguency Or morimem anglen Idisplacenent of lictie dipal 18s phose of alidie dipule In 2. So tatal moment of amertia Valne of Emand and E dupen de on tial eonditions It depends on bow wee are settime dipale into aso latiom Now we have t, fåmd I 12 2 04) Eny sin (wt ru) L.ke 6(t.) de 4) - w Omny cos (wt tu) Nm Nm. de (4) (a vilve) At +9 <-4 6 cas (wt 1w) moment of imertia of a rad ot length lotmass M about an anis possing thrngh centir of mass is OH) + 12 sin fwbra) So moment of inertia of a particle of mass Nm which is ele distance away from axis of natalion is Ip Nm Ul2)?= Nmee ton a it tro ome can solue eren if tfo Const Cos(utta) So moment of inentia of two partichs of moss Nm and
Transcribed Image Text:> axis of oseilion diagam of dipele during oscillation +9 > axis of oscillation & dipole moment of eltie dipode - P =q Yorqus acting an dipel = = P Ê ndrtia of our elbchie dipale about avis of oscillation and ** angulan velonity id'o is amgelen accalination So wi cam say the negalis sign is the brcause Yongu octing on dipol is Aastaning tague It is trying to bring buck elichie dipole into equilibaium position when it is suftering an angular displacement of 'e I die = -9JE0 whee 9,2, E and I ane constant on W:V 1E * - - a now this spuotion lork srodtly hke squation of SHM which is dx: -wx whee xis linen displocement thus es = VIE s angulen fruguency Or morimem anglen Idisplacenent of lictie dipal 18s phose of alidie dipule In 2. So tatal moment of amertia Valne of Emand and E dupen de on tial eonditions It depends on bow wee are settime dipale into aso latiom Now we have t, fåmd I 12 2 04) Eny sin (wt ru) L.ke 6(t.) de 4) - w Omny cos (wt tu) Nm Nm. de (4) (a vilve) At +9 <-4 6 cas (wt 1w) moment of imertia of a rad ot length lotmass M about an anis possing thrngh centir of mass is OH) + 12 sin fwbra) So moment of inertia of a particle of mass Nm which is ele distance away from axis of natalion is Ip Nm Ul2)?= Nmee ton a it tro ome can solue eren if tfo Const Cos(utta) So moment of inentia of two partichs of moss Nm and
An electric dipole with atomic charges +q and -q are fixed to the ends of a rigid neutral molecule with length C. The mass of the charges are Nm and the mass of the rigid rod-like molecule is M, note that N is the number of nucleons in each of the two charged atoms. The electric dipole is set oscillating in a uniform electric field, E. The net torque exerted on the dipole is 7 = xE. Find the simple harmonic oscillation equation for the orientation of the dipole, the solution to the D.E., and the angular frequency in terms of the given information. Be sure to include all undetermined coefficients. → axis of oscillaton diagram of dipele during oscillation +4 +9 > axis of oscillation < dipole moment oft ebctic dipede - P = qT Yorqu acting dipal =や-FX店 an Lof 1 4/1/22
Transcribed Image Text:An electric dipole with atomic charges +q and -q are fixed to the ends of a rigid neutral molecule with length C. The mass of the charges are Nm and the mass of the rigid rod-like molecule is M, note that N is the number of nucleons in each of the two charged atoms. The electric dipole is set oscillating in a uniform electric field, E. The net torque exerted on the dipole is 7 = xE. Find the simple harmonic oscillation equation for the orientation of the dipole, the solution to the D.E., and the angular frequency in terms of the given information. Be sure to include all undetermined coefficients. → axis of oscillaton diagram of dipele during oscillation +4 +9 > axis of oscillation < dipole moment oft ebctic dipede - P = qT Yorqu acting dipal =や-FX店 an Lof 1 4/1/22
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