Mass Oscillating between a Spring and a Damper
Mass Oscillating between a Spring and a Damper
A block is connected to two fixed walls by a spring on one side and a damper on the other. The equation of motion is
mx+c+kx=0
2
d
d
2
t
dx
dt
where and are the spring stiffness and dampening coefficients, is the mass of the block, is the displacement of the mass, and is the time. This example deals with the underdamped case only.
k
c
m
x
t