A 1 kg mass is hanging on the end of a spring at equilibrium. A force of 14 N is used to stretch the spring an additional length of 2 m beyond equilibrium. The spring is in a viscous solution. The force acting upon the mass in the fluid when it has velocity of 2 m/sec is 4 N. There is an outside force of 13cost acting upon the system. If the spring is stretched to 1 m at t = 0 and has I an initial velocity of -2 m/sec, find the position function for the rnass at any time t.
a. Determine the type of damping in this system
b. Draw a graph to represent the motion
c. Find the position at t = 1 sec
Solution:
