1- Consider the single degree of freedom system in figure below: x (1) www 2,000 N/m 100 kg Friction- free surface 10 sin 10t N mä(t) + kx(t) = 10 sin (10t) (a) Make the correct selection: The system above is: (A) Undamped Also determine the following: Also determine the following: (b) Draw the Free-Body-Diagram (FBD) of the mass. (c) Calculate the numerical value of the system's natural frequency. (d) Derive the equation-of-motion (EOM) using method of undetermined coefficients. (B) Underdamped (C) Critically damped (D) Overdamped (e) Calculate the response of the system assuming it is initially at rest. (f) Calculate the response of the system assuming it has an initial displacement of 0.05 m and starting from rest. (g) Calculate the numerical value of the mass normalized force. (h) Write the equation of motion above as a set of first-order ODE's (i) Write the first-order ODE's in state-space form (i) Write a Matlab code -using ODE45- to simulate (solve and plot) the system response above for part (f).

1- Consider the single degree of freedom system in figure below: x (1) www 2,000 N/m 100 kg Friction- free surface 10 sin 10t N mä(t) + kx(t) = 10 sin (10t) (a) Make the correct selection: The system above is: (A) Undamped Also determine the following: Also determine the following: (b) Draw the Free-Body-Diagram (FBD) of the mass. (c) Calculate the numerical value of the system's natural frequency. (d) Derive the equation-of-motion (EOM) using method of undetermined coefficients. (B) Underdamped (C) Critically damped (D) Overdamped (e) Calculate the response of the system assuming it is initially at rest. (f) Calculate the response of the system assuming it has an initial displacement of 0.05 m and starting from rest. (g) Calculate the numerical value of the mass normalized force. (h) Write the equation of motion above as a set of first-order ODE's (i) Write the first-order ODE's in state-space form (i) Write a Matlab code -using ODE45- to simulate (solve and plot) the system response above for part (f).

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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answer no. 7. Derive with the formula below, show the cancellation, explain the step by step and DRAW a free body diagram/figure. refer with this: PE1 + KE1 + U1 + WF1 + Q1 + W1 = PE2 + KE2 + U2 + WF2 + Q2 + W2 + E losses.
This is regarding Forced Vibrations and Ordinary Differential Equations.
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Derive with the formula below, show the cancellation, explain the step by step and DRAW a free body diagram/figure. refer with this: PE1 + KE1 + U1 + WF1 + Q1 + W1 = PE2 + KE2 + U2 + WF2 + Q2 + W2 + E losses.