Solución General

Storyboard

>Model

ID:(749, 0)



Oscillation Damping

Definition

ID:(2698, 0)



Girl on Swing

Image

ID:(1650, 0)



Balance on Tightrope

Quote

ID:(2699, 0)



Solución General

Storyboard

Variables

Symbol
Text
Variable
Value
Units
Calculate
MKS Value
MKS Units
$f$
f
Amplification Factor
1/s
$x$
x
Amplitude
m
$\lambda$
lam
Damping Factor
1/s
$\omega$
omega
Frecuencia Angular
rad/s
$p_t$
p_t
Función de Respuesta
-
$G(t)$
G
Inclusion of a Disturbance
1/s
$\phi$
phi
Phase
$\tau$
tau
Tiempo de Reacción
s
$t$
t
Time
s

Calculations


First, select the equation:   to ,  then, select the variable:   to 

Symbol
Equation
Solved
Translated

Calculations

Symbol
Equation
Solved
Translated

 Variable   Given   Calculate   Target :   Equation   To be used



Equations


Examples

p(t)=gp_0e^{-\lambda t}\cos(\omega t + \phi)

(\lambda-g e^{\lambda\tau}\cos\omega\tau)\cos(\omega t+\phi)+(\omega+g e^{\lambda\tau}\sin\omega\tau)\sin(\omega t+\phi) = 0

\lambda=g e^{\lambda\tau}\cos\omega\tau

\omega=-g e^{\lambda\tau}\sin\omega\tau

\lambda^2+\omega^2=g^2 e^{2\lambda\tau}


>Model

ID:(749, 0)