This is not a graded assignment but a part of a review I'm studying, please do not reject the question, and thank you in advance for your solution! My review problem is the attached image that isn't the graph! I have provided the info from the overall problem here: g is acceleration due to gravity, l is pendulum of length 10 cm and initial displacement theta of 10 degrees. and here is my code solution for part b) as well as the attached graph for b's solution necessary to answering my particular question: % Given parameters initial_displacement = 10; % in degrees pendulum_length = 0.1; % in meters (10 cm) gravity = 9.81; % acceleration due to gravity in m/s^2 time_points = 100; time_axis = linspace(0, 1, time_points); % Time axis from 0 to 1 seconds % Convert initial displacement to radians initial_displacement_rad = deg2rad(initial_displacement); % Calculate angular displacement as a function of time angular_displacement =round(initial_displacement_rad * cos(sqrt(gravity/pendulum_length) * time_axis),4); % Find times when angular displacement is maximum and minimum [max_displacement, max_ind] = max(angular_displacement); [min_displacement, min_ind] = min(angular_displacement); max_indices=(angular_displacement==max_displacement); min_indices=(angular_displacement==min_displacement); % Convert indices to time values and round to 4 digits time_at_max_displacement = time_axis(max_indices); time_at_min_displacement = time_axis(min_indices); max_displacement = round(max_displacement, 4); min_displacement = round(min_displacement, 4); % Plotting plot(time_axis, angular_displacement, 'b-', 'LineWidth', 2); hold on; plot(time_at_max_displacement, max_displacement, 'ro', 'MarkerSize', 8, 'MarkerFaceColor', 'r'); hold on; plot(time_at_min_displacement, min_displacement, 'go', 'MarkerSize', 8, 'MarkerFaceColor', 'g'); xlabel('Time (s)'); ylabel('Angular Displacement (rad)'); title('Angular Displacement of Simple Pendulum'); legend('Angular Displacement', 'Max Displacement','Max Displacement', 'Min Displacement'); fprintf("The Number of times angular displacement is maximum : %d\n",sum(max_indices)); fprintf("The Number of times angular displacement is minimum : %d\n",sum(min_indices)); grid on; hold off; Thank you, I'm really stuck on this one and my test is coming up and I would like to know how to solve properly!

This is not a graded assignment but a part of a review I'm studying, please do not reject the question, and thank you in advance for your solution! My review problem is the attached image that isn't the graph! I have provided the info from the overall problem here: g is acceleration due to gravity, l is pendulum of length 10 cm and initial displacement theta of 10 degrees. and here is my code solution for part b) as well as the attached graph for b's solution necessary to answering my particular question: % Given parameters initial_displacement = 10; % in degrees pendulum_length = 0.1; % in meters (10 cm) gravity = 9.81; % acceleration due to gravity in m/s^2 time_points = 100; time_axis = linspace(0, 1, time_points); % Time axis from 0 to 1 seconds % Convert initial displacement to radians initial_displacement_rad = deg2rad(initial_displacement); % Calculate angular displacement as a function of time angular_displacement =round(initial_displacement_rad * cos(sqrt(gravity/pendulum_length) * time_axis),4); % Find times when angular displacement is maximum and minimum [max_displacement, max_ind] = max(angular_displacement); [min_displacement, min_ind] = min(angular_displacement); max_indices=(angular_displacement==max_displacement); min_indices=(angular_displacement==min_displacement); % Convert indices to time values and round to 4 digits time_at_max_displacement = time_axis(max_indices); time_at_min_displacement = time_axis(min_indices); max_displacement = round(max_displacement, 4); min_displacement = round(min_displacement, 4); % Plotting plot(time_axis, angular_displacement, 'b-', 'LineWidth', 2); hold on; plot(time_at_max_displacement, max_displacement, 'ro', 'MarkerSize', 8, 'MarkerFaceColor', 'r'); hold on; plot(time_at_min_displacement, min_displacement, 'go', 'MarkerSize', 8, 'MarkerFaceColor', 'g'); xlabel('Time (s)'); ylabel('Angular Displacement (rad)'); title('Angular Displacement of Simple Pendulum'); legend('Angular Displacement', 'Max Displacement','Max Displacement', 'Min Displacement'); fprintf("The Number of times angular displacement is maximum : %d\n",sum(max_indices)); fprintf("The Number of times angular displacement is minimum : %d\n",sum(min_indices)); grid on; hold off; Thank you, I'm really stuck on this one and my test is coming up and I would like to know how to solve properly!

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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This is not a graded assignment but a part of a review I'm studying, please do not reject the question, and thank you in advance for your solution!

My review problem is the attached image that isn't the graph!

I have provided the info from the overall problem here:

g is acceleration due to gravity,

l is pendulum of length 10 cm

and initial displacement theta of 10 degrees.

and here is my code solution for part b) as well as the attached graph for b's solution necessary to answering my particular question:

% Given parameters

initial_displacement = 10; % in degrees

pendulum_length = 0.1; % in meters (10 cm)

gravity = 9.81; % acceleration due to gravity in m/s^2

time_points = 100;

time_axis = linspace(0, 1, time_points); % Time axis from 0 to 1 seconds

% Convert initial displacement to radians

initial_displacement_rad = deg2rad(initial_displacement);

% Calculate angular displacement as a function of time

angular_displacement =round(initial_displacement_rad * cos(sqrt(gravity/pendulum_length) * time_axis),4);

% Find times when angular displacement is maximum and minimum

[max_displacement, max_ind] = max(angular_displacement);

[min_displacement, min_ind] = min(angular_displacement);

max_indices=(angular_displacement==max_displacement);

min_indices=(angular_displacement==min_displacement);

% Convert indices to time values and round to 4 digits

time_at_max_displacement = time_axis(max_indices);

time_at_min_displacement = time_axis(min_indices);

max_displacement = round(max_displacement, 4);

min_displacement = round(min_displacement, 4);

% Plotting

plot(time_axis, angular_displacement, 'b-', 'LineWidth', 2);

hold on;

plot(time_at_max_displacement, max_displacement, 'ro', 'MarkerSize', 8, 'MarkerFaceColor', 'r');

hold on;

plot(time_at_min_displacement, min_displacement, 'go', 'MarkerSize', 8, 'MarkerFaceColor', 'g');

xlabel('Time (s)');

ylabel('Angular Displacement (rad)');

title('Angular Displacement of Simple Pendulum');

legend('Angular Displacement', 'Max Displacement','Max Displacement', 'Min Displacement');

fprintf("The Number of times angular displacement is maximum : %d\n",sum(max_indices));

fprintf("The Number of times angular displacement is minimum : %d\n",sum(min_indices));

grid on;

hold off;

Thank you, I'm really stuck on this one and my test is coming up and I would like to know how to solve properly!

Use your results from part (b) to compute the time period of the pendulum oscillation.
Compare your answer with the theoretical expectation (To = 2πt
D.

Figure 1
File Edit View Insert Tools Desktop Window Help
US
B
Angular Displacement (rad)
0.2
0.15
0.1
0.05
0
-0.05
-0.1
-0.15
-0.2
0
0.1
Angular Displacement of Simple Pendulum
N
0.2
0.3
0.4
0.5
Time (s)
0.6
0.7
0.8
Angular Displacement
Max Displacement
Max Displacement
● Min Displacement.
0.9
1
I
X

Expert Solution

Step 1: PROGRAM STRUCTURE

You can use the pendulum period formula to figure out the time period for a pendulum.
The pendulum period formula is:

$T space equals space 2 straight pi square root of straight L over straight g end root$

Where:
- T is the period of the pendulum.
- L is the length of the pendulum.
- g is the acceleration due to gravity.
In your code, you have the values for L (pendulum_length) and g (gravity).

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