A single degree of freedom translational vibrating system has a concentrated mass weighing 77.2 lbs , a spring constant of 20 lb/in, and a viscous damping coefficient of 2 lb sec/ in. if the mass is displaced 1 inch and released with an initial velocity of 2 in/sec in the same direction as the displacement, use LaPlace transform to determine the resulting equation of motion. calculate the natural frequency and the damping factor.