Question

ADVANCED PROBLEMS AP1 A spring-mass-damper system is shown in Figure AP1(a). The Bode diagram obtained by experimental means using a sinusoidal forcing function is shown in Figure AP1(b). Determine the numerical values of $m$, $b$, and $k$. Spring, $k$ $r(t)$ 20 log$|G|$ (dB) -10 -20 -30 -40 Mass, $m$ -50 y(t) Damper, $b$ 0.01 0.1 1 10 100 FIGURE AP1 A spring-mass- damper system. (a) $\omega$ (rad/s) (b) 0° -90° $\phi$ -180°

          ADVANCED PROBLEMS
AP1 A spring-mass-damper system is shown in Figure
AP1(a). The Bode diagram obtained by experimental
means using a sinusoidal forcing function is shown in
Figure AP1(b). Determine the numerical values of $m$,
$b$, and $k$.
Spring, $k$
$r(t)$
20 log$|G|$ (dB)
-10
-20
-30
-40
Mass,
$m$
-50
y(t)
Damper, $b$
0.01
0.1
1
10
100
FIGURE AP1
A spring-mass-
damper system.
(a)
$\omega$ (rad/s)
(b)
0°
-90° $\phi$
-180°

ADVANCED PROBLEMS
AP1 A spring-mass-damper system is shown in Figure
AP1(a). The Bode diagram obtained by experimental
means using a sinusoidal forcing function is shown in
Figure AP1(b). Determine the numerical values of m,
b, and k.
Spring, k
r(t)
20 log|G| (dB)
-10
-20
-30
-40
Mass,
m
-50
y(t)
Damper, b
0.01
0.1
1
10
100
FIGURE AP1
A spring-mass-
damper system.
(a)
ω (rad/s)
(b)
0°
-90° ϕ
-180°

Added by Colton C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Dwijendra Rao

Step 1

The phase angle of G(jω) is given by yt. Show more…

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ADVANCED PROBLEMS b and k. AP1 (a) The Bode diagram obtained by experimental means using a sinusoidal forcing function is shown in Figure AP1. The diagram shows -10 20 Spring, k 20 log|G| dB 30 r1 40 50 Mass, 0o 90 Damper, b yt -180 100 0.01 0.1 1 (rad/s) 10. (b)