A mass on a spring has a frequency 1 Hz. A drag force -bv is added, with b adjusted for critical damping. The oscillator is started with initial displacement zero, and initial velocity +100 mm/s.
a) Find the displacement x(t); with numerical values (including units) for all constants in your expression.
b) Repeat for the same spring, drag force, and initial conditions if a mass 4 times as large is used.
c) Repeat again if both m and b are increased to four times their original values, with the spring and initial conditions the same.