The discussion focuses on proving the Simple Harmonic Motion (SHM) for a charged spring-mass system in an electric field. A key point raised is the derivative of a constant, specifically that the derivative of the rest position, denoted as x_0, is zero. This is established because the rest position remains unchanged when the forces acting on the block are balanced. The clarification provided by user @nasu emphasizes the importance of understanding the nature of constants in the context of differential equations.
PREREQUISITESStudents of physics, educators teaching mechanics, and anyone interested in the mathematical foundations of motion in electric fields.
I see now. ## \frac {dx_0} {dt} = 0 ## as for each differential time, there is no change in the rest position. This is because rest position is function of where the forces acting on the block are equal only. Right?nasu said: