Can anybody help with solving this problem? Thanks.
A point particle of mass m is attached to a spring of spring constant k which is pulled with constant acceleration A. The spring lies along the direction of the acceleration A and the system is immersed in a fluid, so that when the mass moves with velocity v, it is subject to a viscosity force fv = βv, which opposes its motion.
a. Write down, without solving it, the equation of motion for the mass in a reference frame moving with the system.
b. Neglecting the viscosity, compute the elongation of the spring at equilibrium and the period of the oscillations of the mass.