Consider the system shown below. The two pulleys, small and large, are bolted together and move as a single piece. The parameter values are as follows: m = 5 kg m₂ = 1 kg m₂ = 2 kg R₂, ma R₁.m R₁ = 0.200 m k₂ = 400 N/m k₂= 300 N/m E Note: Jaise == x(t = 0) = 0.01 m i(t = 0) = 0 MR² R₂ = 0.400 m C₁ = 1.5 N-s/m C₂= design parameter a. Determine the characteristic equation in terms of the position of the hanging mass, x(t). b. The parameter c, can be adjusted in the design phase. Determine the value of c, required to yield a damping coefficient of 0.2 c. In the post-design phase structure, determine the system response, x(t), in response to initial conditions of
Consider the system shown below. The two pulleys, small and large, are bolted together and move as a single piece. The parameter values are as follows: m = 5 kg m₂ = 1 kg m₂ = 2 kg R₂, ma R₁.m R₁ = 0.200 m k₂ = 400 N/m k₂= 300 N/m E Note: Jaise == x(t = 0) = 0.01 m i(t = 0) = 0 MR² R₂ = 0.400 m C₁ = 1.5 N-s/m C₂= design parameter a. Determine the characteristic equation in terms of the position of the hanging mass, x(t). b. The parameter c, can be adjusted in the design phase. Determine the value of c, required to yield a damping coefficient of 0.2 c. In the post-design phase structure, determine the system response, x(t), in response to initial conditions of
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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![Problem #1
Consider the system shown below. The two pulleys, small and large, are bolted together and
move as a single piece.
The parameter values are as follows:
m = 5 kg
m₂ = 1 kg
m₂ = 2 kg
R₁.m
R₂m₂
SA
R₂ = 0.200 m
k₂ = 400 N/m
k₂ = 300 N/m
772
x(t)
Note:
x(t =0) = 0.01 m
*(t =0)=0
Jaise = mR²
R₂ = 0.400 m
C₁ = 1.5 N-s/m
C₂= design parameter
a. Determine the characteristic equation in terms of the position of the hanging mass, x(t).
b. The parameter c₂ can be adjusted in the design phase. Determine the value of c, required to yield a
damping coefficient of 0.2.
c. In the post-design phase structure, determine the system response, x(t), in response to initial
conditions of](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25fce74d-50ce-4010-8593-c528dce466b9%2F4fa87d84-822e-480d-b147-163def91f8d3%2Fzfmfj98_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem #1
Consider the system shown below. The two pulleys, small and large, are bolted together and
move as a single piece.
The parameter values are as follows:
m = 5 kg
m₂ = 1 kg
m₂ = 2 kg
R₁.m
R₂m₂
SA
R₂ = 0.200 m
k₂ = 400 N/m
k₂ = 300 N/m
772
x(t)
Note:
x(t =0) = 0.01 m
*(t =0)=0
Jaise = mR²
R₂ = 0.400 m
C₁ = 1.5 N-s/m
C₂= design parameter
a. Determine the characteristic equation in terms of the position of the hanging mass, x(t).
b. The parameter c₂ can be adjusted in the design phase. Determine the value of c, required to yield a
damping coefficient of 0.2.
c. In the post-design phase structure, determine the system response, x(t), in response to initial
conditions of
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