Another spring whose constant is 20 N/m is suspended from the same rigid support but parallel to the spring/mass system in Problem 6. A mass of 20 kilograms is attached to the second spring, and both masses are initially released from the equilibrium position with an upward velocity of 10 m/s.
(a) Which mass exhibits the greater amplitude of motion?
(b) Which mass is moving faster at t = π/4 s? At π/2s?
(c) At what times are the two masses in the same position? Where are the masses at these times? In which directions are the masses moving?