(a) A mass weighing 16 pounds stretches a spring 6.4 feet. Assuming no friction, determine the equation of motion and the natural frequency of vibration of the mass-spring system. Use the value g = 32 ft/sec2 for the gravitational acceleration.
(b) The mass-spring system is placed in ajar of oil. whose frictional resistance equals the speed of the mass. Assume the spring is stretched an additional 2 feet from its equilibrium position and let go. Determine the motion of the mass.
(c) Is the system overdamped or underdamped? Are the vibrations more rapid or less rapid than the undamped system?