t. Design the following application caseThe mechanical vibration system is shown in Figure (a). When a step input with3N amplitude is subjected to this system, the movement rule of the mass m isshown in Figure (b). Evaluate the values of mass m, damping constant c andspring constant k.m(a)F-3NXX1.0x(1)(cm)02(b)M,-0.095Ⓒ

Answered: Image /qna-images/answer/87b4564a-a4b7-48ea-bd2a-04bb7aeafe6b.jpg

Answered: t. Design the following application…

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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Sketch frequency response of the system from part (a) in the form of Bode plot as accurately as you can.
I am struggling with question 1 a b c d
PROBLEM3: Consider the system shown in Figure 3, where m = 70 ton and k = 6000 kN/m. d) Derive the equations of motion. e) Find the natural frequencies and mode shapes of the system. f) Find the free-vibration response of the system for the initial conditions: v(0)= {1} cm cm, v (0) = m Sec 00000 m k 00000 k x₁ (1) Jour 5k 0000 m Figure 3 00000 m 00000 k k x₂(1) - X3 (1) ܠܠܠܠܠܠܠܝ
4 QUESTION 20 The car bridge in Figure Q20 can be modelled as a damped-spring oscillator system with mass M = 10000 kg, spring coefficient k = 50000 N-m-1 and damping constant c = 50000 N-s-m-1. Cars cross the bridge in a periodic manner such that the bridge experiences a vertical force F (N) expressed by F = mg sin(10t) where m = 1136 kg is the average mass of passing cars, g = 9.81 m-s-2 is the gravitational acceleration and t (s) is the time. Determine the maximum force magnitude transmitted to the foundation (see Figure Q20) during the steady-state oscillatory response of the system. Provide only the numerical value (in Newtons) to zero decimal places and do not include the units in the answer box. E m M foundation Figure Q20: Vibrating car bridge.
t. Design the following application case m is The mechanical vibration system is shown in Figure (a). When a step input with shown in Figure (b). Evaluate the values of mass m, damping constant c and spring constant k. B (a) yu P=2N X(t)/cm4 0.1095 0.1 0 2 (b) 3 4
Q5: Find the equation of motion, natural frequency @ critical damping coefficient C., damping ratio , logarithmic decrement &, and damped frequency @ for the system shown in Fig. (5). Figure (5) IT TE X m=10kg C =500 N.s/m K-1000 N/m wwwww Pulley. Jo-1 kg.m²
Theory of vibration exercise
PROBLEM3: Consider the system shown in Figure 3, where m = 70 ton and k = 6000 kN/m. d) Derive the equations of motion. e) Find the natural frequencies and mode shapes of the system. f) Find the free-vibration response of the system for the initial conditions: v (0) m (2) {2} cm. = cm, v (0) Sec 00000 m k 00000 k x₂ (1) 5k 0000 Figure 3 00000 k x₂ (1) m 00000 k X3 (1)
A linear dashpot of damping coefficient c is added to the system as shown in Figure lb. Given the following parameters: L= 0.4 m, b = 0.1 m, m=1.5 kg, k = 50 N/m and c=100 Ns/m, determine an expression for the response of the system if the initial angular displacement and initial angular velocity are 0 rad and 1.5 rad/s respectively. k ww L O. Figure lb
The 1 degree of freedom underdamped vibration system is subjected to external force as shown in the figure. (1) Finding a steady state response. (2) Induce the frequency at which the maximum displacement occurs in detail and (3) Find the maximum displacement at that time. (4) Plotting the frequency response function and explain its concept.
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HELP!!! ASAP!!! DIFERENTIAL EQUATION

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