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4) Consider the following mass spring damper system: m2 u(t) Assuming that y, > y1, equation of motion (EOM) for this system can be obtained by applying the Newton's second law: +EF, = mÿ (i.e. RHS is positive) Then, equations are written as: m,ỹ, = k2V2 – Yı) – k,yı – cỷ, (1) m2ÿz = u(t) - k2(y2 – Yı) (2) where u(t) is the input function to the system. Take m, = 1 kg, m2 = 2 kg, c = 10 Ns/m and k = 10 N/m, k2 = 20 N/m. Then, answer the following questions. a) Find the transfer functions G,(s) = and G2(s) : Y;(s) U(s) U(s)

4) Consider the following mass spring damper system: m2 u(t) Assuming that y, > y1, equation of motion (EOM) for this system can be obtained by applying the Newton's second law: +EF, = mÿ (i.e. RHS is positive) Then, equations are written as: m,ỹ, = k2V2 – Yı) – k,yı – cỷ, (1) m2ÿz = u(t) - k2(y2 – Yı) (2) where u(t) is the input function to the system. Take m, = 1 kg, m2 = 2 kg, c = 10 Ns/m and k = 10 N/m, k2 = 20 N/m. Then, answer the following questions. a) Find the transfer functions G,(s) = and G2(s) : Y;(s) U(s) U(s)

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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4) Consider the following mass spring damper system: m2 u(t) Assuming that y, > y1, equation of motion (EOM) for this system can be obtained by applying the Newton's second law: +EF, = mÿ (i.e. RHS is positive) Then, equations are written as: m,ỹ, = k2V2 – Yı) – k,yı – cỷ, (1) m2ÿz = u(t) - k2(y2 – Yı) (2) where u(t) is the input function to the system. Take m, = 1 kg, m2 = 2 kg, c = 10 Ns/m and k = 10 N/m, k2 = 20 N/m. Then, answer the following questions. a) Find the transfer functions G,(s) = and G2(s) : Y;(s) U(s) U(s)
Transcribed Image Text:4) Consider the following mass spring damper system: m2 u(t) Assuming that y, > y1, equation of motion (EOM) for this system can be obtained by applying the Newton's second law: +EF, = mÿ (i.e. RHS is positive) Then, equations are written as: m,ỹ, = k2V2 – Yı) – k,yı – cỷ, (1) m2ÿz = u(t) - k2(y2 – Yı) (2) where u(t) is the input function to the system. Take m, = 1 kg, m2 = 2 kg, c = 10 Ns/m and k = 10 N/m, k2 = 20 N/m. Then, answer the following questions. a) Find the transfer functions G,(s) = and G2(s) : Y;(s) U(s) U(s)
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