1. Consider the model for the mass-spring system where there is no forcing term (free, damped vibrations). The ODE model is my" +cy+ky = 0. (a) (2 points) If I replace the spring by a super strong spring (i.e. the value of k is much larger than either m or c, what happens? (b) (2 points) If I put a very heavy object on the spring (i.e. m is much greater than k or c), what happens? (c) (2 points) If the system is immersed in thick, viscous fluid (i.e. c is very large compared with m and k), what happens?