O N/m. l1=0.4 m and l2=0.6 m. A. Pump
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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![The motor-pump system shown in Figure 1 is modeled as a rigid bar of mass m=50kg and mass moment
of inertia Jo=100 kg-m?. The foundation of the system can be replaced by two springs of stiffness kj=500
N/m and k2=200 N/m. l1=0.4 m and l,=0.6 m.
0(t)
С.G. т, Jo
Motor,
Pump
x(t)
C.G.
k2
Base
(а)
Foundation
(b)
Figure 1. Motor-pump system on springs.
a) Determine the natural frequencies of the system.
b) Buitd the Simalink diagram.
c) Simulate the system and plot displacements for the following cases (choose suitable simulation
time for each case):
1) Take the initial conditions x0=0.1, xd0=theta0=thetad0=0.
2) An excitation force F=FI.sin(wt) is applied vertically through C.G. Chose the value of F1.
Also choose such w values so that the system is
i.
in resonance.
ii.
experiencing beating.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F780f9839-f737-4aba-91a2-6210989911b1%2F13635f7e-1201-430f-a990-0f5098b69fb0%2Fhk38a49_processed.png&w=3840&q=75)
Transcribed Image Text:The motor-pump system shown in Figure 1 is modeled as a rigid bar of mass m=50kg and mass moment
of inertia Jo=100 kg-m?. The foundation of the system can be replaced by two springs of stiffness kj=500
N/m and k2=200 N/m. l1=0.4 m and l,=0.6 m.
0(t)
С.G. т, Jo
Motor,
Pump
x(t)
C.G.
k2
Base
(а)
Foundation
(b)
Figure 1. Motor-pump system on springs.
a) Determine the natural frequencies of the system.
b) Buitd the Simalink diagram.
c) Simulate the system and plot displacements for the following cases (choose suitable simulation
time for each case):
1) Take the initial conditions x0=0.1, xd0=theta0=thetad0=0.
2) An excitation force F=FI.sin(wt) is applied vertically through C.G. Chose the value of F1.
Also choose such w values so that the system is
i.
in resonance.
ii.
experiencing beating.
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