X2 X1 K2 K12 K1 M2 M1 B2 'B12 B1 B20 B10 Figure 2: Mass-Spring-Danper 5) Which of the following gives the differential equation governing the dynamics of mass M1? Miž1 + (B2 + B0 + B2)i2- B1zia + (K2+ K12)72 - K121 = o Miäi + (B1 + B10 + B12)1 - B1242 +(K1 + K12)T1 – K12T2 = 0 Miëi+ (B1 + B10 + 2B12)1+ (K1 + 2K12)1 =0 Miž1 + (B2 + B20 +2B12)i1 - B12i2 + (K2+2K12)1 = 0 6) Which of the following gives the force-voltage analogy of the above equation? Lği+ (R2 + R20 + R12)42 – R1241 +(- C2 1 =0 C12 C12

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ISBN:9780133923605
Author:Robert L. Boylestad
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Q 6 only
Given below in Fig. 2 is a mass-spring-damper system
X2
X1
K12
K1
K2
M2
M1
B2
"B12 O O
B1
B20
B10
Figure 2: Mass-Spring-Damper
5) Which of the following gives the differential equation governing the dynamics of mass M1?
%3D
Mjä1 + (B2 + B20 + B12)i2 – B1zi2 + (K2 + K12)a2 – Kp71 = 0
%3D
Mä1+ (B1 + Bo + B12)1 – B12i2 + (K1 + K12)a1 – K2r2 = 0
Mjä1+ (B1 + Bo + 2B12)1 + (K1+ 2K12)r1 =0
Mjäi + (B2 + B20 + 2B12)1 - B1zi2 + (K2 + 2K12)a1 = 0
6) Which of the following gives the force-voltage analogy of the above equation?
Lği+ (R2 + R20 + R12)42 - R1241 + +
1
-)42
C12
91 = 0
C12
ø1 = 0
2L12
1
R1
R10
2R12
1
1
Lğ1 + (R + R10 + R2)41 – R1242 + -+)
92 = 0
C12
C12
1.
-02+(-
R12
+
R1
+
R10
2R12
L1
2L12
Transcribed Image Text:Given below in Fig. 2 is a mass-spring-damper system X2 X1 K12 K1 K2 M2 M1 B2 "B12 O O B1 B20 B10 Figure 2: Mass-Spring-Damper 5) Which of the following gives the differential equation governing the dynamics of mass M1? %3D Mjä1 + (B2 + B20 + B12)i2 – B1zi2 + (K2 + K12)a2 – Kp71 = 0 %3D Mä1+ (B1 + Bo + B12)1 – B12i2 + (K1 + K12)a1 – K2r2 = 0 Mjä1+ (B1 + Bo + 2B12)1 + (K1+ 2K12)r1 =0 Mjäi + (B2 + B20 + 2B12)1 - B1zi2 + (K2 + 2K12)a1 = 0 6) Which of the following gives the force-voltage analogy of the above equation? Lği+ (R2 + R20 + R12)42 - R1241 + + 1 -)42 C12 91 = 0 C12 ø1 = 0 2L12 1 R1 R10 2R12 1 1 Lğ1 + (R + R10 + R2)41 – R1242 + -+) 92 = 0 C12 C12 1. -02+(- R12 + R1 + R10 2R12 L1 2L12
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