x = A cos(wt) where x = displacement at time t, A = maximum displacement, w = angular frequency, which depends on the spring constant and the mass attached to the spring, and t = time.   Find the displacement, x, with maximum displacement A of 4 cm, for times from 0 to 120 seconds with increments of 30 seconds, and angular frequencies from 0.4 to 0.6 radians/sec, with increments of 0.1 radians/sec.  The displacement for all combinations of times and angular frequencies needs to be calculated. Use meshgrid. Display your results in a matrix with angular frequencies along the top row and times al

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter7: Arrays
Section7.5: Case Studies
Problem 15E
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The displacement of an oscillating spring can be described by

x = A cos(wt)

where

x = displacement at time t,

A = maximum displacement,

w = angular frequency, which depends on the spring constant and the mass attached to the spring, and

t = time.

 

Find the displacement, x, with maximum displacement A of 4 cm, for times from 0 to 120 seconds with increments of 30 seconds, and angular frequencies from 0.4 to 0.6 radians/sec, with increments of 0.1 radians/sec.  The displacement for all combinations of times and angular frequencies needs to be calculated. Use meshgrid.

Display your results in a matrix with angular frequencies along the top row and times along the left column like so (you may put zero, 0, or NaN, in the upper left corner:

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The displacement of an oscillating spring can be described by

x = A cos(wt)

where

x = displacement at time t,

A = maximum displacement,

w = angular frequency, which depends on the spring constant and the mass attached to the spring, and

t = time.

 

Find the displacement, x, with maximum displacement A of 4 cm, for times from 0 to 120 seconds with increments of 30 seconds, and angular frequencies from 0.4 to 0.6 radians/sec, with increments of 0.1 radians/sec.  The displacement for all combinations of times and angular frequencies needs to be calculated. Use meshgrid.

Display your results in a matrix with angular frequencies along the top row and times along the left column like so (you may put zero, 0, or NaN, in the upper left corner:

 

 
 
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