A two-mass system consists of a piston of mass m₁, connected by two elastic springs, that moves inside a tube as shown in Fig. 5.23. A pendulum of length / and end mass m₂ is con- nected to the piston as shown in Fig. 5.23. (a) Derive the equations of motion of the system in terms of x₁(1) and 0(1). (b) Derive the equations of motion of the system in terms of the x₁ (1) and x₂(1). (c) Find the natural frequencies of vibration of the system.
A two-mass system consists of a piston of mass m₁, connected by two elastic springs, that moves inside a tube as shown in Fig. 5.23. A pendulum of length / and end mass m₂ is con- nected to the piston as shown in Fig. 5.23. (a) Derive the equations of motion of the system in terms of x₁(1) and 0(1). (b) Derive the equations of motion of the system in terms of the x₁ (1) and x₂(1). (c) Find the natural frequencies of vibration of the system.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Please just question C. Instead of solving part C how it says can you solve by using k1=k2=1N/m m1=m2=1kg, l=1m, g=10m/s^2, use [X,wn2]=eig(K,M) to find the natural frequencies for both sets of coordinates. Thank you
![000000
M₁
0(1)
k₂
xxxxxxxxx0000
-12-|
FIGURE 5.23 Piston-pendulum motions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f6c81c7-9a41-4014-8916-60df888d5014%2F24041ac7-d9cb-4507-a07f-ca49eedaeae6%2F4wato5o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:000000
M₁
0(1)
k₂
xxxxxxxxx0000
-12-|
FIGURE 5.23 Piston-pendulum motions.
![5.4 A two-mass system consists of a piston of mass m₁, connected by two elastic springs, that
moves inside a tube as shown in Fig. 5.23. A pendulum of length / and end mass m₂ is con-
nected to the piston as shown in Fig. 5.23. (a) Derive the equations of motion of the system
in terms of x₁ (1) and 0(1). (b) Derive the equations of motion of the system in terms of the
x₁ (1) and x₂(1). (c) Find the natural frequencies of vibration of the system.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f6c81c7-9a41-4014-8916-60df888d5014%2F24041ac7-d9cb-4507-a07f-ca49eedaeae6%2Fdohsg3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5.4 A two-mass system consists of a piston of mass m₁, connected by two elastic springs, that
moves inside a tube as shown in Fig. 5.23. A pendulum of length / and end mass m₂ is con-
nected to the piston as shown in Fig. 5.23. (a) Derive the equations of motion of the system
in terms of x₁ (1) and 0(1). (b) Derive the equations of motion of the system in terms of the
x₁ (1) and x₂(1). (c) Find the natural frequencies of vibration of the system.
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