The discussion revolves around the oscillation of an electric dipole in an electric field, specifically focusing on determining the angular frequency, denoted as ##ω##. The original poster presents equations related to torque and angular motion, indicating a connection to small oscillations.
Participants have engaged in a back-and-forth regarding the mathematical forms of the equations, with some guidance provided on recognizing the structure of simple harmonic motion. There is an acknowledgment of the similarity between the equations presented, but explicit consensus on the final interpretation or application of ##ω## has not been reached.
Some participants express uncertainty about the transition from the derived equations to the identification of ##ω##, indicating a need for further clarification on the relationship between the variables involved.
kuruman said:What if you rewrote the equation as
$$\frac{d^2 \theta}{dt^2}=\frac{pE}{I} \theta$$
Does the form look familiar?
kuruman said:Does this look familiar?
$$\frac{d^2 x}{dt^2}=-\frac{k}{m} x$$
Hint: "Not really" is not an option. Think what it could possibly be.
Note that the two diff eqs are the same, except the symbols are different. They have the same solutions.Arman777 said:I see now..Sure it does.But Hıw can I go from this info to ω
Yep. Remember this and learn to recognize the simple harmonic oscillator equation in all its different disguises. Its general form isArman777 said:İt s ##w=\sqrt \frac {pE} {I} ##?
thankskuruman said:Yep. Remember this and learn to recognize the simple harmonic oscillator equation in all its different disguises. Its general form is
$$\frac{d^2(something)}{d(something ~else)^2}=-(frequency)^2 \times (something)$$