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1. (30 Points) (a) (10 Points) Find the model of the mechanical system in Fig.149

ÉÕ Éè É× Éè ÉÖÉÞ kgÉõ secÉÖ , ÉÖ Éè ÉØÉÞ kgÉõ secÉÖ , solution satisfying
conditions ÉÕ ÉåÉÞ Éæ Éè ÉÖ ÉåÉÞ Éæ Éè ÉÞ, ¡Ç ÉÕ ÉåÉÞ Éæ Éè ÉÕ meterÉõ sec, ¡Ç ÉÖ ÉåÉÞ Éæ ÉèÉç ÉÕ meter Éõ sec, and (c) (10 Points) Find the model (the system of ODEs) in (a) extended by adding another mass É× and another spring of modulus É× in series

2. (30...

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°ú¸ñ¸í: °øÇмöÇÐ(2)
(no friction, no damping),

Çйø:
(b) (10 find

À̸§:
Points) the Letting ÉÕ Éè ÉÖ Éè ÉÕÉÞ kg, the initial

1. (30 Points) (a) (10 Points) Find the model of the mechanical system in Fig.149
ÉÕ Éè É× Éè ÉÖÉÞ kgÉõ secÉÖ , ÉÖ Éè ÉØÉÞ kgÉõ secÉÖ , solution satisfying

conditions ÉÕ ÉåÉÞ Éæ Éè ÉÖ ÉåÉÞ Éæ Éè ÉÞ, ¡Ç ÉÕ ÉåÉÞ Éæ Éè ÉÕ meterÉõ sec, ¡Ç ÉÖ ÉåÉÞ Éæ ÉèÉç ÉÕ meter Éõ sec, and (c) (10 Points) Find the model (the system of ODEs) in (a) extended by adding another mass É× and another spring of modulus É× in series

2. (30 Points) Using Laplace transforms, find the currents ÉÕ Éå Éæ and ÉÖ Éå Éæ in the network in Fig.145 with ɬ and ɲ measured in terms of the usual units, Éå Éæ Éè ÉÕÉÞÉÞ volts if ¡Â ¡Â ÉÞ ÉôÉÙ sec and ÉÞ thereafter, and ÉåÉÞ Éæ Éè ÉÞ, ¡Ç ÉåÉÞ Éæ Éè ÉÞ

3. (20 Points) Solve the initial value problem for a damped mass-spring system acted upon by a sinusoidal force for some time interval (Fig.136), ¡È Éé ÉÖ¡Ç Éé ÉÖ Éè Éå Éæ, Éå ¡¦(»ý·«)


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Regist : 2017-04-03
Update : 2017-04-03
FileNo : 17042019

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