A mass writhing 16 lbs stretches m spring 2 ft The mass is d

A mass writhing 16 lbs stretches m spring 2 ft. The mass is display an additional 3 limits from its position and is then set in motion with an initial upward velocity of 16 ft/s. Assume there is no damping, no external force. and the downward direction is the positive diction. Find the mass m and the spring constant k. (Use the gravitational acceleration g -32 ft/s^2). Write the initial problem that governs the motion of the mass. Determine the displacement at any time t (in feet). What is the amplitude of the resulting vibration/oscillation? What is the period of this vibration/oscillation?

Solution

given that

mass = 16lbs

length of string = 2ft