Respuesta :
Answer:
a = L
b = MT^(-1)
c = LT^(-1)
k = MT^(-2)
f = MLT^(-2)
S = T^(-1)
Step-by-step explanation:
x (0) = a
x is denoted by displacement in vibration analysis hence attains units of x.
Hence, a = L
b is the damping coefficient:
[tex]b = \frac{F}{\frac{dx}{dt} } \\= MLT^(-2) / LT^(-1)\\= MT^(-1)[/tex]
x'(0) = c
dx/dt = velocity hence c attains the units of velocity
c = LT^(-1)
Coefficient k is the stiffness:
[tex]k = \frac{F}{x} = \frac{MLT^(-2)}{L} = MT^(-2)[/tex]
Coefficient f is the magnitude of the exciting force
[tex]F = m*acceleration = MLT^(-2)[/tex]
Coefficient S is the angular frequency
angular frequency is displacement in radians per seconds; hence,
S = T^(-1)
