Task 1 A vibration signal was measured in a mechanical structure as f(t) = = 12cos (+). a) Analytically find the period of this function. b) Assume that this function is defined in the interval -1 * period (sec) ≤ t ≤ 1* period(sec); based on the period which you found in part a, analytically find the value/values of t where the function f(t) = (B/10). c) Using MATLAB plot the curve of this function in the interval -1 * period (sec) ≤ t ≤ 1* period(sec); Use a minor grid and legend, and graphically find the value/values of t where the function f(t) = (B/10). Name this file 'task1_c.m' and attach it to your submission. d) Attach the plot to your submission, name it 'taskl_figl' and use the data curser to label the data tips of the points where f(t) = (B/10). Also, from the plot measure the amplitude, frequency, and phase of f(t), and use the data curser to show and label the points used to measure those quantities. Show your full analytical solution to all parts.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Task 1
A vibration signal was measured in a mechanical structure as f(t) =
= 12cos (+).
a) Analytically find the period of this function.
b) Assume that this function is defined in the interval
-1 * period (sec) ≤ t ≤ 1*
period(sec);
based on the period which you found in part a, analytically find the value/values of t where
the function f(t) = (B/10).
c) Using MATLAB plot the curve of this function in the interval
-1 * period (sec) ≤ t ≤ 1* period(sec);
Use a minor grid and legend, and graphically find the value/values of t where the function
f(t) = (B/10). Name this file 'task1_c.m' and attach it to your submission.
d) Attach the plot to your submission, name it 'taskl_figl' and use the data curser to label the
data tips of the points where f(t) = (B/10).
Also, from the plot measure the amplitude, frequency, and phase of f(t), and use the data
curser to show and label the points used to measure those quantities.
Show your full analytical solution to all parts.
Transcribed Image Text:Task 1 A vibration signal was measured in a mechanical structure as f(t) = = 12cos (+). a) Analytically find the period of this function. b) Assume that this function is defined in the interval -1 * period (sec) ≤ t ≤ 1* period(sec); based on the period which you found in part a, analytically find the value/values of t where the function f(t) = (B/10). c) Using MATLAB plot the curve of this function in the interval -1 * period (sec) ≤ t ≤ 1* period(sec); Use a minor grid and legend, and graphically find the value/values of t where the function f(t) = (B/10). Name this file 'task1_c.m' and attach it to your submission. d) Attach the plot to your submission, name it 'taskl_figl' and use the data curser to label the data tips of the points where f(t) = (B/10). Also, from the plot measure the amplitude, frequency, and phase of f(t), and use the data curser to show and label the points used to measure those quantities. Show your full analytical solution to all parts.
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