4. If the friction for a particular spring-mass problem is µ, and the position of the mass satisfies the DE dx dt + µ- + 3x = 0 dt2 then solve the following cases: (a) Solve the equation when µ= 4 (that is, the system is overdamped). (b) Explain how the solution when µ = 4 differs in behaviour from when there is negative friction as in the tutorial question. (c) Solve the equation when µ = /12 (that is, the system is critically damped). (d) Solve the equation when µ = v8 (that is, the system is underdamped).

4. If the friction for a particular spring-mass problem is µ, and the position of the mass satisfies the DE dx dt + µ- + 3x = 0 dt2 then solve the following cases: (a) Solve the equation when µ= 4 (that is, the system is overdamped). (b) Explain how the solution when µ = 4 differs in behaviour from when there is negative friction as in the tutorial question. (c) Solve the equation when µ = /12 (that is, the system is critically damped). (d) Solve the equation when µ = v8 (that is, the system is underdamped).