Electric dipole's maximum angular velocity


by superamazinPI
Tags: angular, dipole, electric, maximum, velocity
superamazinPI
superamazinPI is offline
#1
Feb17-08, 09:42 PM
P: 1
1. The problem statement, all variables and given/known data
Consider an electric dipole located in a region with an electric field of magnitude [tex]\vec{E}[/tex] pointing in the positive y direction. The positive and negative ends of the dipole have charges +q and -q, respectively, and the two charges are a distance D apart. The dipole has moment of inertia I about its center of mass. The dipole is released from angle [tex]\theta[/tex], and it is allowed to rotate freely.

What is [tex]\omega_{max}[/tex], the magnitude of the dipole's angular velocity when it is pointing along the y axis?

2. Relevant equations

dipole moment p= qd

[tex]\vec{\tau}[/tex]=[tex]\vec{p}[/tex]X[tex]\vec{E}[/tex]

U= -[tex]\vec{p}[/tex] [tex]\cdot[/tex][tex]\vec{E}[/tex]

3. The attempt at a solution

I attempted to use energy, but I am not sure how to do it correctly - does potential energy equal kinetic? is the potential energy the one described in the above equation?
Phys.Org News Partner Science news on Phys.org
Better thermal-imaging lens from waste sulfur
Hackathon team's GoogolPlex gives Siri extra powers
Bright points in Sun's atmosphere mark patterns deep in its interior
mjsd
mjsd is offline
#2
Feb18-08, 03:55 AM
HW Helper
mjsd's Avatar
P: 858
dipole in a E field gives torque, torque is a force and can then be related to moment of inertia and angular acceleration
clem
clem is offline
#3
Feb18-08, 10:09 AM
Sci Advisor
P: 1,250
You can use your expression for U and (1/2)I\omega^2 for the KE.


Register to reply

Related Discussions
Maximum angular momentum Introductory Physics Homework 1
Determine its maximum angular displacement? Introductory Physics Homework 1
Determine its maximum angular displacement Introductory Physics Homework 1
Electric Dipole's Force of Ammonia on a Proton Introductory Physics Homework 0
How to find the maximum velocity and maximum acceleration? Introductory Physics Homework 5