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Datum x(t) 2 m k = 2U00 N/m m; = 5S kg 3 т m; = 1T kg Figure Q2

Datum x(t) 2 m k = 2U00 N/m m; = 5S kg 3 т m; = 1T kg Figure Q2

Elements Of Electromagnetics
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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S=2

U=0

T=0

Datum x(t) 2 т k = 2U00 N/m m¡ = 5S kg 3 т m2 = 1T kg Figure Q2
Transcribed Image Text:Datum x(t) 2 т k = 2U00 N/m m¡ = 5S kg 3 т m2 = 1T kg Figure Q2
Figure Q2 illustrates a schematic model of seismograph system (a device to records earthquakes). Given that the mass of m1 = 5S kg, mass of m2 = 1T kg, spring stiffness of k =2U00 N/m, g = 9.81 m/s² and a moment of inertia for simple pendulum is I = M2Ľ², where L is the length of the pendulum. Q2 Note: The values of S, T and U depend on the respective 4th, 5th, and 6th digit of your matric number as the following number format AD PQRSTU. For example, if your matric number is AD 170154 gives the value S = 1, T = 5 and U = 4, thus mass of m1 = 51 kg, mass of m2 = 15 kg and spring stiffness of k =2400 N/m. (a) Derive the equations of motion of the system in matrix form given below with complete values [M] and [K]. Assuming that 0 is too small for the model. [M]} + [K] {} = {}
Transcribed Image Text:Figure Q2 illustrates a schematic model of seismograph system (a device to records earthquakes). Given that the mass of m1 = 5S kg, mass of m2 = 1T kg, spring stiffness of k =2U00 N/m, g = 9.81 m/s² and a moment of inertia for simple pendulum is I = M2Ľ², where L is the length of the pendulum. Q2 Note: The values of S, T and U depend on the respective 4th, 5th, and 6th digit of your matric number as the following number format AD PQRSTU. For example, if your matric number is AD 170154 gives the value S = 1, T = 5 and U = 4, thus mass of m1 = 51 kg, mass of m2 = 15 kg and spring stiffness of k =2400 N/m. (a) Derive the equations of motion of the system in matrix form given below with complete values [M] and [K]. Assuming that 0 is too small for the model. [M]} + [K] {} = {}
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