A viscous damper, with damping constant c, and a spring, with spring stiffness k, are connected to a mass less bar AB as shown in Fig. 2.103. The bar AB is displaced by a distance of x = 0.1 m when a constant force F = 500 N is applied. The applied force F is then abruptly released from its displaced position. If the displacement of the bar AB is reduced from its initial value of 0.1 m at t = 0 to 0.01 m at t = 10, see, find the values of c and k.