How Do You Solve the Vibration Equation of Motion?

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To solve the vibration equation of motion, it's essential to provide details on the specific problem and any attempts made so far. Engaging with the community by sharing your progress can facilitate more targeted assistance. Clear communication of the challenges faced will help others understand how to provide effective guidance. The forum encourages collaboration and problem-solving through shared insights. Seeking help with context will lead to better support in resolving the equation.
pradi4u
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Pls help me to solve this..


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Hi pradi4u! Welcome to PF! :wink:

Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 

Thread 'Help with derivation of electric field of a moving charge'

At first, I derived that: $$\nabla \frac 1{\mu}=-\frac 1{{\mu}^3}\left((1-\beta^2)+\frac{\dot{\vec\beta}\cdot\vec R}c\right)\vec R$$ (dot means differentiation with respect to ##t'##). I assume this result is true because it gives valid result for magnetic field. To find electric field one should also derive partial derivative of ##\vec A## with respect to ##t##. I've used chain rule, substituted ##\vec A## and used derivative of product formula. $$\frac {\partial \vec A}{\partial t}=\frac...
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