Undamped oscillators that are driven at resonance have unusual (and nonphysical) solutions. To investigate this, complete parts (a) through (e) below. (a) Find the synchronous solution Acos S2t + Bsin 2: to the generic forced oscillator equation my" + by' + ky = cos 1t. y(l) = cos C1 + V sin S2t. (b) Sketch graphs of the coefficients A and B, as functions of 2. for m = 1, b= 0.1, and k = 25. Choose the correct graph below. O A. OB. Oc. OD. 1.5 1.5 A 2.5 2.5 2.5 2.5 IB 1.5 1.5 B. (c) Now set b=0 in your formulas for A and Band resketch the graphs in part (b), with m= 1. and k= 25. What happens at 2= 5? Notice that the armplitudes of the syrchronous solutions grow without bound as 2 approaches 5. Choose the correct graph below. OA. OB. Oc. OD. 4- 4- 4- A B A A
Undamped oscillators that are driven at resonance have unusual (and nonphysical) solutions. To investigate this, complete parts (a) through (e) below. (a) Find the synchronous solution Acos S2t + Bsin 2: to the generic forced oscillator equation my" + by' + ky = cos 1t. y(l) = cos C1 + V sin S2t. (b) Sketch graphs of the coefficients A and B, as functions of 2. for m = 1, b= 0.1, and k = 25. Choose the correct graph below. O A. OB. Oc. OD. 1.5 1.5 A 2.5 2.5 2.5 2.5 IB 1.5 1.5 B. (c) Now set b=0 in your formulas for A and Band resketch the graphs in part (b), with m= 1. and k= 25. What happens at 2= 5? Notice that the armplitudes of the syrchronous solutions grow without bound as 2 approaches 5. Choose the correct graph below. OA. OB. Oc. OD. 4- 4- 4- A B A A
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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