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For the mass spring damper system shown in the figure, assume that m = 0.25 kg, k= 2500 N/m, and c = 10 N.s/m. The values of force measured at 0.05-second intervals in one cycle are given below. 0.20 19 0.65 30 0.25 33 0.70 0.30 34 0.75 0 0.05 0.40 22 0.15 0.35 12 0.80 time 0.10 F(t) time Force 44 0.60 12 14 0.45 0.50 0.55 18 0.85 21 32 0.90 49 11 25 40 35 time 0.95 F(t) 11 +x 1- Find the equation of motion. 2- Find the homogenous solution. 3- If we excite the system with initial displacement and velocity as 5 mm and 0.2 m/s respectively, plot the response of the free vibration system.

For the mass spring damper system shown in the figure, assume that m = 0.25 kg, k= 2500 N/m, and c = 10 N.s/m. The values of force measured at 0.05-second intervals in one cycle are given below. 0.20 19 0.65 30 0.25 33 0.70 0.30 34 0.75 0 0.05 0.40 22 0.15 0.35 12 0.80 time 0.10 F(t) time Force 44 0.60 12 14 0.45 0.50 0.55 18 0.85 21 32 0.90 49 11 25 40 35 time 0.95 F(t) 11 +x 1- Find the equation of motion. 2- Find the homogenous solution. 3- If we excite the system with initial displacement and velocity as 5 mm and 0.2 m/s respectively, plot the response of the free vibration 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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mechanical vibration

please solve it in clear note: The fifth section solved it by using MATLAB i need all qusestion solved 1-9 For the mass spring damper system shown in the figure, assume that m = 0.25 kg, k= 2500 N/m, and c = 10 N.s/m. The values of force measured at 0.05-second intervals in one cycle are given below. 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 time F(t) time 12 14 44 19 33 34 12 22 0.60 25 0.45 0.50 0.55 0.65 0.70 0.75 0.80 0.85 Force 32 11 18 30 49 40 35 21 time 0.90 0.95 F(t) 11 m +x F(1) 1- Find the equation of motion. 2- Find the homogenous solution. 3- If we excite the system with initial displacement and velocity as 5 mm and 0.2 m/s respectively, plot the response of the free vibration system. 4- Use the generated plot in part 3 to verify the value of the damping constant, c. 5- Find the steady state solution (only particular solution) for the forced vibration system. Take number of terms in your Fourier series terms from this range [ 30 – 55). 6- Plot the force in the table, and the Fourier series expansion of the force (same graph). 7- Plot the steady state solution. 8- Find the total solution for the forced system with the initial conditions given in part 3. 9- Plot the total solution found in part 8.
Transcribed Image Text:please solve it in clear note: The fifth section solved it by using MATLAB i need all qusestion solved 1-9 For the mass spring damper system shown in the figure, assume that m = 0.25 kg, k= 2500 N/m, and c = 10 N.s/m. The values of force measured at 0.05-second intervals in one cycle are given below. 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 time F(t) time 12 14 44 19 33 34 12 22 0.60 25 0.45 0.50 0.55 0.65 0.70 0.75 0.80 0.85 Force 32 11 18 30 49 40 35 21 time 0.90 0.95 F(t) 11 m +x F(1) 1- Find the equation of motion. 2- Find the homogenous solution. 3- If we excite the system with initial displacement and velocity as 5 mm and 0.2 m/s respectively, plot the response of the free vibration system. 4- Use the generated plot in part 3 to verify the value of the damping constant, c. 5- Find the steady state solution (only particular solution) for the forced vibration system. Take number of terms in your Fourier series terms from this range [ 30 – 55). 6- Plot the force in the table, and the Fourier series expansion of the force (same graph). 7- Plot the steady state solution. 8- Find the total solution for the forced system with the initial conditions given in part 3. 9- Plot the total solution found in part 8.
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