The motor-pump system shown in Figure 1 is modeled as a rigid bar of mass m=50kg and mass momentof inertia Jo=100 kg-m?. The foundation of the system can be replaced by two springs of stiffness kj=500N/m and k2=200 N/m. l1=0.4 m and l,=0.6 m.0(t)С.G. т, JoMotor,Pumpx(t)C.G.k2Base(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 simulationtime 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 isi.in resonance.ii.experiencing beating.

data given Motor pump system Mass m =50 kg mass moment of inertia J0 =100 lg/m2 spring stiffness…

Answered: O N/m. l1=0.4 m and l2=0.6 m. A. Pump

Engineering

Mechanical Engineering

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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Buckling of columns

The column is described as a vertical member of the structure that carries an axial compressive load, and buckling is a lateral deformation of the column under the application of load.

Question

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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.

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