The equation of motion of a damped, unforced pendulum is 0 +-0 + sin 0 = 0. m ml-02 /2 + mgl(1 – cos(0)). Suppose a pendulum has The total energy of the pendulum is E = m = 2, g = 9.81, l = 3, and coefficient of friction y = 0.5, all in SI units. Write a well-commented script program that uses the Modified Euler's method with h the pendulum from a starting position of (0(0), 0(0)) = (.97,0) until the energy falls below 0.01 Joules (use a while loop). Record the steps in matrices Y and T and plot the motion. Turn in your program and plot. = 0.01 to simulate the movement of
The equation of motion of a damped, unforced pendulum is 0 +-0 + sin 0 = 0. m ml-02 /2 + mgl(1 – cos(0)). Suppose a pendulum has The total energy of the pendulum is E = m = 2, g = 9.81, l = 3, and coefficient of friction y = 0.5, all in SI units. Write a well-commented script program that uses the Modified Euler's method with h the pendulum from a starting position of (0(0), 0(0)) = (.97,0) until the energy falls below 0.01 Joules (use a while loop). Record the steps in matrices Y and T and plot the motion. Turn in your program and plot. = 0.01 to simulate the movement of
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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![The equation of motion of a damped, unforced pendulum is
0 + -0 + sin 0 = 0.
The total energy of the pendulum is E = ml²0?/2 + mgl(1 – cos(0)). Suppose a pendulum has
m = 2, g = 9.81, l = 3, and coefficient of friction y
script program that uses the Modified Euler's method with h
the pendulum from a starting position of (0(0), 0(0) = (.97, 0) until the energy falls below 0.01 Joules
(use a while loop). Record the steps in matrices Y and T and plot the motion. Turn in your program
and plot.
0.5, all in SI units. Write a well-commented
0.01 to simulate the movement of](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fea38e68d-6f32-422b-ad76-d132731074b1%2F71766093-26f3-4ca8-91e9-68f0ef449e6c%2F2qfrdn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The equation of motion of a damped, unforced pendulum is
0 + -0 + sin 0 = 0.
The total energy of the pendulum is E = ml²0?/2 + mgl(1 – cos(0)). Suppose a pendulum has
m = 2, g = 9.81, l = 3, and coefficient of friction y
script program that uses the Modified Euler's method with h
the pendulum from a starting position of (0(0), 0(0) = (.97, 0) until the energy falls below 0.01 Joules
(use a while loop). Record the steps in matrices Y and T and plot the motion. Turn in your program
and plot.
0.5, all in SI units. Write a well-commented
0.01 to simulate the movement of
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