Point A moves with a constant velocity vo. It is connected to a particle of mass m by a linear damper whose tensile force is F = c(vo - x). (a) Assuming the initial conditions x(0) = 0, (0) = 0, solve for the particle velocity i as a function of time. (b) Find the work W done on the system by the force F acting on A. (c) Show that the work W approaches twice the value of the kinetic energy T as time t approaches infinity. %3D %3D

Point A moves with a constant velocity vo. It is connected to a particle of mass m by a linear damper whose tensile force is F = c(vo - x). (a) Assuming the initial conditions x(0) = 0, (0) = 0, solve for the particle velocity i as a function of time. (b) Find the work W done on the system by the force F acting on A. (c) Show that the work W approaches twice the value of the kinetic energy T as time t approaches infinity. %3D %3D

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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Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

Question

1.8. Point A moves with a constant velocity vo. It is connected to a particle of mass m
by a linear damper whose tensile force is F = c(vo – x). (a) Assuming the initial
conditions x(0) = 0, i(0) = 0, solve for the particle velocity i as a function of time.
(b) Find the work W done on the system by the force F acting on A. (c) Show that
the work W approaches twice the value of the kinetic energy T as time t approaches
infinity.
Problems
y=vot
Figure P 1.8.

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