A 2-kg mass is attached to a spring whoes stiffness constant is 18 N/m. The damping constant for the system is 12 N- sec/m. The mass is moved 2 m to the right of the equilibrium position and given an initial leftward velocity 7 m/s. (a) Wrute down the differential equation for the motion of the together with the initial consitions. (b) Solve the differential equation in part (a) above to determine the displacement of the mass as a function of time. (c) Determine when the mass return to its equilibrium position. (d) Determine the direction in which the mass is moving at t = 3 sec.

A 2-kg mass is attached to a spring whoes stiffness constant is 18 N/m. The damping constant for the system is 12 N- sec/m. The mass is moved 2 m to the right of the equilibrium position and given an initial leftward velocity 7 m/s. (a) Wrute down the differential equation for the motion of the together with the initial consitions. (b) Solve the differential equation in part (a) above to determine the displacement of the mass as a function of time. (c) Determine when the mass return to its equilibrium position. (d) Determine the direction in which the mass is moving at t = 3 sec.