When a mass is attached to an ideal spring, the spring stretches. The mass- spring system is allowed to come to equilibium, and then set in motion with some initial conditions. The position of the mass is then y(t) = 0.12 cos 3t – 0.15 sin 3t where y(t) is measured in metres and t is in seconds. (a) The motion described by y(t) is: (choose one) (i) overdamped (ii) critically damped (iii) underdamped (iv) not damped (b) Calculate the amplitude and period of this motion. (c) Find the first time t > 0 that the mass passes through the equilibrium position.

When a mass is attached to an ideal spring, the spring stretches. The mass- spring system is allowed to come to equilibium, and then set in motion with some initial conditions. The position of the mass is then y(t) = 0.12 cos 3t – 0.15 sin 3t where y(t) is measured in metres and t is in seconds. (a) The motion described by y(t) is: (choose one) (i) overdamped (ii) critically damped (iii) underdamped (iv) not damped (b) Calculate the amplitude and period of this motion. (c) Find the first time t > 0 that the mass passes through the equilibrium position.