4) The measured free vibration response of a one-degree-of-freedom system is as shown in the below graph: 20 10 ww -10 -20 0.2 0.4 0.6 0.8 Time (s) (a) Deduce from this measurement the log decrement, the natural frequency, and the critical damping ratio of the system. (b) Estimate the value of t beyond which the displacement magnitude a will not exceed 0.01-mm. (c) If the damping constant C is held fixed (constant), while the system is modified by doubling the stiffness K and halving the generalized mass M, how would that alter the answer to part (b)? (d) The initial displacement, at t =: 0, is qo=q(0) = -10-mm. What is the initial velocity vo=4(0) = ?? Displacement (mm)

4) The measured free vibration response of a one-degree-of-freedom system is as shown in the below graph: 20 10 ww -10 -20 0.2 0.4 0.6 0.8 Time (s) (a) Deduce from this measurement the log decrement, the natural frequency, and the critical damping ratio of the system. (b) Estimate the value of t beyond which the displacement magnitude a will not exceed 0.01-mm. (c) If the damping constant C is held fixed (constant), while the system is modified by doubling the stiffness K and halving the generalized mass M, how would that alter the answer to part (b)? (d) The initial displacement, at t =: 0, is qo=q(0) = -10-mm. What is the initial velocity vo=4(0) = ?? Displacement (mm)

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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