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 anegligibly 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 rateat which fuel is burnt and v is the velocity of the jet stream. The initial mass of therocket is M, so that its mass at any time t is given by m = M - mot, 0≤ t ≤ to. If thedata 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 = 2000kg and to 100 sec.-(1)·1a. derive the equation of motion of the rocketb. find the maximum steady-state displacement of the rocket by assuming anaverage (constant) mass of (M — 0.5 moto)

F= movm = M -mot , 0≤ t ≤ t0k = 7.5 × 106 N/mc = 0.2 × 106 N -s/mm0 = 15 kg/sv = 2000 m/sM =…

Answered: The subject is vibrati

Engineering

Mechanical Engineering

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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Question

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)

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