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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Concept explainers

Entropy

In physics, entropy means the amount of disorder or the degree of randomness associated with a thermodynamic system. The system is not self-organized when the entropy of the system is high. For instance, when a system is at an elevated temperature, its molecules are in random motion, vibrating and colliding with each other. During this scenario, the probability of finding a molecule at a particular place twice, is low. Under this circumstance, the system can be said to be in a high entropy.

Question

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4- Please I want solution of all sub-parts by typing. Many Thanks

4) The measured free vibration response of a one-degree-of-freedom system is
as shown in the below graph:
20
ww
10
-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 g 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-ġ(0) = ??
Displacement (mm)

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