The subject is vibrati
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 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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1244a1d0-9c4e-4067-9c41-48ba681fe04c%2F51b509e7-b11d-4284-9421-41d6dd189bd4%2Flbcuq2_processed.png&w=3840&q=75)
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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