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Q7. Ay'' + By' + Cy = 0, motorcycle-suspension - Coggle Diagram
Q7.
Ay'' + By' + Cy = 0
Solução:
y(t) = exp(st)
s > 0
y
cresce
s < 0
y
decai
s = iw
y
oscila
s = a + iw
y
oscila e cresce/decai
B = 0
my'' + ky = 0
(Segunda Lei de Newton)
B > 0
Amortecimento
B < 0
"Anti-amortecimento*
B^2 > 4AC
Overdamping
B^2 = 4AC
Critical Damping
B^2 < 4AC
Underdamping
B = 0
No damping
Aplicações
Spring-mass system
Skydiving
Pendulum
Vehicle suspension
Forced vibrations (
RHS = f(t)
)
