How solve this step?! (15.3em) when it is loaded. If the body is drawn down (10 cm) from the position oftime (t) if:Example: A (1.84 N) body is suspended by a spring which is stretchedequilibrium; find the position of the spring as a function of1. c 1.52. c= 3.753. c= 3Solution:My"tc y'+k y = 01.84=0.188 kg9.81.84=120.153k == 15.3 cm= 10 cm1) for e 1.51840.188 y"+1.5 y'+12 y=0y"+8 y'+64 y = 0m' +8m+64 0Dashpot-87 V64 - 4x 644743i e Under Dampingm =2v)=e"(Acos4,/3 t+ Bsin 4,/3 t)Initial Condiuonsat 1=0 = y'=0 =y=0,1my(0) = A+0=0.1 = A=0.1y) =-45 Asin 43 +4/3 Bcos4 31-[Acos4,3+Bsin 4/3](4e)y'(0) = 43 B-44=4/3 B-4x0.1=0 = B=103

Answered: Image /qna-images/answer/43df54ad-62f8-45e8-b3d2-96d785f415ab.jpg

Example: A (1.84 N) body is suspended by a spring which is stretched (15.3 cm) when it is loaded. If the body is drawn down (10 cm) from the position of time (1) if: equilibrium; find the position of the spring as a function of 1. e-1.5 2. c= 3.75 3. c=3 Solution: M y"+c y'+k y = 0 W 1.84 9.8 M 0.188 Ag 1.84 - 15.3 cm 5. 0.153 10 cm 1) for e-1.5 L84 0.188y"-1.5y'+12 y-0 y"+8y'+64 y = 0 m +8m + 64 = 0 – 87 v64 – 4× 64 Dashpot 44/31 o Under Damping 2 v)"(Acos4/3 t+ Bsin 4/3t) Initial Conamo at 1=0 y'=o y=0.lm y(0) = A+0=0.1 = A=0.1 y0)--45 Asin 4/31+4/5 Beos45 ] [tcos4/3+ Bsin4/5-4e") y(0) = 45 B-4A= 4/3 B -4x0.1=0 = B-

Example: A (1.84 N) body is suspended by a spring which is stretched (15.3 cm) when it is loaded. If the body is drawn down (10 cm) from the position of time (1) if: equilibrium; find the position of the spring as a function of 1. e-1.5 2. c= 3.75 3. c=3 Solution: M y"+c y'+k y = 0 W 1.84 9.8 M 0.188 Ag 1.84 - 15.3 cm 5. 0.153 10 cm 1) for e-1.5 L84 0.188y"-1.5y'+12 y-0 y"+8y'+64 y = 0 m +8m + 64 = 0 – 87 v64 – 4× 64 Dashpot 44/31 o Under Damping 2 v)"(Acos4/3 t+ Bsin 4/3t) Initial Conamo at 1=0 y'=o y=0.lm y(0) = A+0=0.1 = A=0.1 y0)--45 Asin 4/31+4/5 Beos45 ] [tcos4/3+ Bsin4/5-4e") y(0) = 45 B-4A= 4/3 B -4x0.1=0 = B-

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter8: Time And Time-related Variables In Engineering

Section: Chapter Questions

Problem 22P

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