A mass of 6 kg lies on a smooth horizontal table, and is attached by a spring to a fixed point, as shown in the figure below. The spring has a stiffness of 375 N/m.
(a). Determine the natural frequency of this system.
(b). If the mass is given a displacement, x = 0.75 m, to the right, and is then released, by neglecting the effect of friction, determine the equation of motion in this case
(c). With the aid of proper software, (Excel, Derive, Matlab or others), plot curves of displacement, velocity and acceleration against time based on the equation obtained in question (b).
(d). Calculate displacement, velocity and acceleration at time t = 0.25 seconds, and compare with the plots obtained in question (c).