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

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
icon
Related questions
Question

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
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Mechanical Drawings
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY