 #1
greg_rack
Gold Member
 363
 79
 Homework Statement:

A metal rod of length ##L=20cm## and mass ##m=80g## is hung with two conductive threads of length ##l=20cm## and set in a magnetic field of magnitude ##B=700mT## directed upwards.
When the rod carries a current of ##I=2.8A## it balances itself forming an angle ##\theta## with the vertical direction.
It the rod gets moved a little from its resting position, it will oscillate with a harmonic motion around that position
##\triangleright## Determine the period of those oscillations.
 Relevant Equations:

##T=\frac{1}{f}##
Harmonic motion laws
Lorentz's force equation
This problem honestly got me in big confusion.
I managed to find the angle ##\theta## at which the rod rests by equalling the components of weight and Lorentz's force... but from this point on I really don't know how to manage the harmonic oscillation part.
I managed to find the angle ##\theta## at which the rod rests by equalling the components of weight and Lorentz's force... but from this point on I really don't know how to manage the harmonic oscillation part.