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Please. Answer parts please. Attempt Once. Use cosine and show method using both rads and degree.

Please. Answer parts please. Attempt Once. Use cosine and show method using both rads and degree.

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
Problem 1.1MA
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Please. Answer parts please. Attempt Once. Use cosine and show method using both rads and degree.

Case of x,=0: x(t) = Acos(@,t-ø)→ x(t = 0) = x, =0= Acosø → → x(t = 0) = x, = -@¸Asin= „A→ A= 2 → x(t)= Acos @,t - „Asin n IT → x(t): -cos @,t – @n -sin@,t @n Phase Angle: x(1) = x, cos@,t + 0 sin@,t = Acos(@,t – ø) = tan A, Ø = tan tan W, tan o tan o : = + Wn 'n + X0 - Xo tan o tan o Wn = + Wn
Transcribed Image Text:Case of x,=0: x(t) = Acos(@,t-ø)→ x(t = 0) = x, =0= Acosø → → x(t = 0) = x, = -@¸Asin= „A→ A= 2 → x(t)= Acos @,t - „Asin n IT → x(t): -cos @,t – @n -sin@,t @n Phase Angle: x(1) = x, cos@,t + 0 sin@,t = Acos(@,t – ø) = tan A, Ø = tan tan W, tan o tan o : = + Wn 'n + X0 - Xo tan o tan o Wn = + Wn
An undamped single-degree-of freedom system consists of a mass 5 kg and a spring of stiffness 2,000 N/m. Find the response of the system when the mass is subjected to the following initial conditions: тт тт (a) x, = 20 (mm), i = 200 (b) x, =-20 (mm), š = 200 sec sec тm mm (с) х, %3D 20 (тт), х, — — 200 (d) х, %3 -20 (тт), х, —- 200 sec sec
Transcribed Image Text:An undamped single-degree-of freedom system consists of a mass 5 kg and a spring of stiffness 2,000 N/m. Find the response of the system when the mass is subjected to the following initial conditions: тт тт (a) x, = 20 (mm), i = 200 (b) x, =-20 (mm), š = 200 sec sec тm mm (с) х, %3D 20 (тт), х, — — 200 (d) х, %3 -20 (тт), х, —- 200 sec sec
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