Q5: Find the equation ofmotion, natural frequency @critical damping coefficient C.,damping ratio , logarithmicdecrement &, and dampedfrequency @ for the systemshown in Fig. (5).Figure (5)ITTEXm=10kgC =500 N.s/mK-1000 N/mwwwwwPulley. Jo-1 kg.m²

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Answered: Q5: Find the equation of motion,…

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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Q5:- in the fig M= 20 kg, c-7 N.s/m, k=10 N/M, the excitation is 10 sin5t, find natural frequency, excition frequency Excitation force, is the device in the resonse Frequency, Is the device under damping? Find the equation of motion A typical accelerometer Schematic of an accelerometer
MA Figure (2) 3- The time response of a liner spring-mass-damper system with the mass of (m), the stiffness coefficient of (k), and a dampirg constant of (c) is given below in figure (2) with a set of coordinates marked by fillec circles. x(t) is in meters, it is in seconds. Indicate the units of all quantities involved in your solutions when calculate 0 -1- (0.53, 1.78) (0,0.8) 2 (2.1,-1.3) (3.7,0.9) L 4 (5.3,-0.7) - The damping ratio of the system. Its natural frequency w., damping corstart c, and stiffness coefficient k; for (m-1.25 kg). III- The amplitude of the motion if the phase angle is given as (0.4 rad). IV. Its initial conditions. (6.86, 0.5) 10 t[sec]
Q5:- in the fig M= 20 kg, c=7 N.s/m, k=10 N/M, the excitation is 10 sin5t, find natural frequency, excition frequency Excitation force, is the device in the resonse Frequency, Is the device under damping? Find the equation of motion
Given the vibrating system below: K1 K3 K4 Find the following 1. Keq 2. Ceq 3. Natural angular velocity K2 m C1 C3 C5 C2 C4 4. Damped angular velocity 5. Type of Damping 6. Equation of motion x(t). Assume Initial conditions for displacement and velocity Graph 2 cycles of the vibrating system. You can use third party app for this. 7. M = 10 kg K1=100 N/m K2= 80 N/m K3=75 N/m K4= 120 N/m C1 = 20Ns/m C2= 40 Ns/m C3= 35Ns/m C4= 15 Ns/m C5= 10 Ns/m
Given the vibrating system below: K4 Y(t) =Ysin30t where for = 30 and Y=20mm Find the following K1 K2 m C3 H C2 C1 C5 C4 1. Frequency Ratio 2. Displacement Transmissibility Ratio 3. Absolute displacement of the mass 4. Type of Damping 5. Equation of motion x(t). Assume Initial conditions for displacement and velocity 6. Graph 2 cycles of the vibrating system. You can use third party app for this. M = 10 kg K1=100 N/m K2= 80 N/m K3=75 N/m K4= 120 N/m C1 = 20Ns/m C2=40 Ns/m C3= 35Ns/m C4= 15 Ns/m C5= 10 Ns/m
Example-3. Determine natural frequency, damped natural frequency, damping ratio and logarithmic decrement for the system as shown: 21 Neglect mass of rod m TWwwx THEATEFNT mummi
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K Kt m₂ mi For this fig. > with damping Find the following: ~Equations of motion C ~Mass matrix ~Stiffness matrix ~Damping matrix ~Natural freqyancy ~All damping properties.. 72 ZI
2. The equation of motion for a damped multidegree of freedom system is given by Where [m] = [m]{x} + [c]{x} + [k]{x} = {f} [100 = 0 0 0 10 0 10. 1000-4 {f} [c] 8 –4 0 8 – 4 -4 4 0 8 4 = 100 2 0 = Focos(wt) -2 -2 The value of Fo 50N and w 50 rad/sec. Assuming the initial conditions to be zero and using the modal coordinate approach, find out the steady state solution of the system in the modal coordinate for first mode. Plot the steady state solution using the computational tools. 0 −2], [k] = = 2
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Q5: Find the equation of motion, natural frequency @² critical damping coefficient Ce damping ratio 5, logarithmic decrement &, and damped frequency @ for the system shown in Fig. (5). m-10kg K-1000 N/m wwwwwww Pulley. Jo-1 kg.m² C=500 N.s/m