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The subject is vibrati

The subject is vibrati

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
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The subject is vibration engineering. please make the solution clean and understandable. thanks

1. In a static firing test, a rocket is anchored to a rigid wall by a spring-damper system, as shown in Fig (a). The thrust acting on the rocket reaches its maximum value F in a negligibly short time and remains constant until the burnout time as indicated in Fig. (b). The thrust acting on the rocket is given by F = mov where mo is the constant rate at which fuel is burnt and v is the velocity of the jet stream. The initial mass of the rocket is M, so that its mass at any time t is given by m = M - mot, 0≤ t ≤ to. If the data are k = 7.5 x 106 N/m, c = 0.2 x 106 N-s/m, mo = 15 kg/s, v = 2000 m/s, M = 2000 kg and to 100 sec. -(1) ·1 a. derive the equation of motion of the rocket b. find the maximum steady-state displacement of the rocket by assuming an average (constant) mass of (M — 0.5 moto)
Transcribed Image Text:1. In a static firing test, a rocket is anchored to a rigid wall by a spring-damper system, as shown in Fig (a). The thrust acting on the rocket reaches its maximum value F in a negligibly short time and remains constant until the burnout time as indicated in Fig. (b). The thrust acting on the rocket is given by F = mov where mo is the constant rate at which fuel is burnt and v is the velocity of the jet stream. The initial mass of the rocket is M, so that its mass at any time t is given by m = M - mot, 0≤ t ≤ to. If the data are k = 7.5 x 106 N/m, c = 0.2 x 106 N-s/m, mo = 15 kg/s, v = 2000 m/s, M = 2000 kg and to 100 sec. -(1) ·1 a. derive the equation of motion of the rocket b. find the maximum steady-state displacement of the rocket by assuming an average (constant) mass of (M — 0.5 moto)
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