Two Masses with Forcing Functions Oscillating between Three Springs
Two Masses with Forcing Functions Oscillating between Three Springs
This Demonstration treats a system consisting of three springs connecting two masses between two walls with forcing functions on the masses, given by =5cos(t) and =5cos(t). The solution plots are shown and dynamically updated to reflect changes to the initial displacements and the forcing frequencies. The short-term behavior can be affected by the changes in initial displacement, but the long-term behavior is dominated by the forcing functions. The two equations being solved are:
F
1
ω
1
F
2
ω
2
2
d
x
1
d
2
t
1
m
1
k
1
k
2
x
1
k
2
m
1
x
2
ω
1
2
d
x
1
d
2
t
1
m
2
k
2
k
3
x
2
k
2
m
2
x
1
ω
2