A shock absorber is a mechanical device which provides resistance to compression or exte...

A shock absorber is a mechanical device which provides resistance to compression or extension given by where c is a constant and v is the time rate of change of the length of the absorber. An absorber of constant is shown being tested with a 100-kg cylinder suspended from it. The system is released with the cable taut at y = 0 and allowed to extend. Determine (a) the steadystate velocity v_s of the lower end of the absorber and (b) the time t and displacement y of the lower end when the cylinder has reached 90 percent of its steady-state speed. Neglect the mass of the piston and attached rod.