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Q2 A mass-spring system is shown in Figure Q2 with mı = 10 kg, m2 =. 20 kg, kı = (10+P) N/m, k2 = (10+Q) N/m and k3 = (20+R) N/m. (a) Draw a free body diagram for the system by assuming that the system is made to vibrate freely in vertical direction. (b) Examine that the equation of motion for the system as: o ]äl [(k, +k,) -k, Jx (kz + k;)]\x2{¯ m, -k, (c) Determine the natural frequencies of the system.

Q2 A mass-spring system is shown in Figure Q2 with mı = 10 kg, m2 =. 20 kg, kı = (10+P) N/m, k2 = (10+Q) N/m and k3 = (20+R) N/m. (a) Draw a free body diagram for the system by assuming that the system is made to vibrate freely in vertical direction. (b) Examine that the equation of motion for the system as: o ]äl [(k, +k,) -k, Jx (kz + k;)]\x2{¯ m, -k, (c) Determine the natural frequencies of the system.

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
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The value P = 1, Q = 5 and R =4,

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Q2 A mass-spring system is shown in Figure Q2 with mı = 10 kg, m2 = 20 kg, kı = (10+P) N/m, k2 = (10+Q) N/m and k3 = (20+R) N/m. (a) Draw a free body diagram for the system by assuming that the system is made to vibrate freely in vertical direction. (b) Examine that the equation of motion for the system as: 0 m2 (k, + k, )\x2S (c) Determine the natural frequencies of the system. (d) Evaluate the mode shapes of the system complete with the mode shape diagram.
Transcribed Image Text:Q2 A mass-spring system is shown in Figure Q2 with mı = 10 kg, m2 = 20 kg, kı = (10+P) N/m, k2 = (10+Q) N/m and k3 = (20+R) N/m. (a) Draw a free body diagram for the system by assuming that the system is made to vibrate freely in vertical direction. (b) Examine that the equation of motion for the system as: 0 m2 (k, + k, )\x2S (c) Determine the natural frequencies of the system. (d) Evaluate the mode shapes of the system complete with the mode shape diagram.
x1(1) k2 m2 x2(1) Figure Q2
Transcribed Image Text:x1(1) k2 m2 x2(1) Figure Q2
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