(a) The position – time plot of a spring-mass-damper system is as shown - Find the damped frequency. - Find the logarithmic decrement. - Find the damping ratio. Spring Mass Damper 0.8 0.6 0.4 0.2 -0.2 -0.4 -06- -0.8 10 12 14 16 18 20 Time Position

(a) The position – time plot of a spring-mass-damper system is as shown - Find the damped frequency. - Find the logarithmic decrement. - Find the damping ratio. Spring Mass Damper 0.8 0.6 0.4 0.2 -0.2 -0.4 -06- -0.8 10 12 14 16 18 20 Time Position

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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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
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QI: A portion of an automobile suspension system consists of an elastic spring and a viscous damper, as shown. If the natural frequency is 10 rad/sec, a) Determine the damping ratio so that any oscillations that occur will decay from 11-0.5 m to x2-D 0.025 m. b) If the system is displaced 0.2 m from its equilibrium position, and released from rest, determine the position of the mass after it has ascillated through 3 cycles.
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