6. A machine of mass m = 2kg is supported by four springs and a damper ofcoefficient of damping c = 1 N.s/m, as shown in Figure 6. It is observed that theequilibrium position is established after the springs have depressed by 24.5 mmunder the weight of the machine. At time t = 0, the machine is pushed down from itsequilibrium position by y = 100mm, as shown, and then released.(a) For the system,(1) Calculate the total stiffness, kr, of the four springs and the naturalcircular frequency of vibration, w, ,(H) The damping ratio, 5. and hence identify the prevailing type ofDamping.(b) For the ensuing vibration of the machine,(1) Sketch the appropriate amplitude-time curve, and(i) Determine the displacement of the machine from its equilibrium positionafter 5 oscillations.Equilibriumpositiony = 100mmmFigure 6

Given: mass of the machine→m=2 Kg Damping coefficient→C=1 Ns/m Equilibrium deflection of the…

6. A machine of mass m = 2kg is supported by four springs and a damper of coefficient of damping c = 1 N.s/m, as shown in Figure 6. It is observed that the equilibrium position is established after the springs have depressed by 24.5 mm under the weight of the machine. At time t=0, the machine is pushed down from its equilibrium position by y = 100mm, as shown, and then released. (a) For the system, () Calculate the total stiffness, kr, of the four springs and the natural circular frequency of vibration, o,, (H) The damping ratio, 5. and hence identify the prevaling type of Damping. (b) For the ensuing vibration of the machine, () Sketch the appropriate amplitude-time curve, and (ii) Determine the displacement of the machine from its equilibrium position after 5 oscillations.

6. A machine of mass m = 2kg is supported by four springs and a damper of coefficient of damping c = 1 N.s/m, as shown in Figure 6. It is observed that the equilibrium position is established after the springs have depressed by 24.5 mm under the weight of the machine. At time t=0, the machine is pushed down from its equilibrium position by y = 100mm, as shown, and then released. (a) For the system, () Calculate the total stiffness, kr, of the four springs and the natural circular frequency of vibration, o,, (H) The damping ratio, 5. and hence identify the prevaling type of Damping. (b) For the ensuing vibration of the machine, () Sketch the appropriate amplitude-time curve, and (ii) Determine the displacement of the machine from its equilibrium position after 5 oscillations.

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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