Problem

Derive the equation of motion for the system, in which the springs with constants k1and k2...

Derive the equation of motion for the system, in which the springs with constants k1and k2 connecting m to the wall are joined in series. Neglect the mass of the small wheels, and assume that the attachment point A between the two springs has negligible mass. Hint: The force in the two springs must be the same; use this fact, along with the fact that the total deflection of the mass must equal the sum of the deflections of the springs to find an equivalent spring constant keq.