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Simulation of Pendulum Motion Gaming Project in C++

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#include <iostream>
#include <cmath>
#include <iomanip> // For std::fixed and std::setprecision

const double g = 9.81; // Acceleration due to gravity (m/s^2)

// Structure to represent the pendulum
struct Pendulum {
    double length;  // Length of the pendulum (meters)
    double angle;   // Angle from vertical (radians)
    double angularVelocity; // Angular velocity (radians/second)
};

// Function to update the pendulum's angle and angular velocity using Euler's method
void updatePendulum(Pendulum& pendulum, double dt) {
    double angularAcceleration = - (g / pendulum.length) * std::sin(pendulum.angle);
    pendulum.angularVelocity += angularAcceleration * dt;
    pendulum.angle += pendulum.angularVelocity * dt;
}

int main() {
    Pendulum pendulum;
    double dt; // Time step for simulation
    int steps; // Number of simulation steps

    // Input initial conditions
    std::cout << "Enter the length of the pendulum (meters): ";
    std::cin >> pendulum.length;
    std::cout << "Enter the initial angle from vertical (radians): ";
    std::cin >> pendulum.angle;
    std::cout << "Enter the initial angular velocity (radians/second): ";
    std::cin >> pendulum.angularVelocity;

    std::cout << "Enter the time step for the simulation (seconds): ";
    std::cin >> dt;
    std::cout << "Enter the number of simulation steps: ";
    std::cin >> steps;

    // Simulation loop
    std::cout << "Step\tAngle (radians)" << std::endl;
    for (int step = 0; step <= steps; ++step) {
        std::cout << step << "\t" << std::fixed << std::setprecision(4) << pendulum.angle << std::endl;
        updatePendulum(pendulum, dt);
    }

    return 0;
}

#include <iostream>

#include <cmath>

#include <iomanip> // For std::fixed and std::setprecision

const double g = 9.81; // Acceleration due to gravity (m/s^2)

// Structure to represent the pendulum

struct Pendulum {

double length; // Length of the pendulum (meters)

double angle; // Angle from vertical (radians)

double angularVelocity; // Angular velocity (radians/second)

};

// Function to update the pendulum's angle and angular velocity using Euler's method

void updatePendulum(Pendulum& pendulum, double dt) {

double angularAcceleration = - (g / pendulum.length) * std::sin(pendulum.angle);

pendulum.angularVelocity += angularAcceleration * dt;

pendulum.angle += pendulum.angularVelocity * dt;

}

int main() {

Pendulum pendulum;

double dt; // Time step for simulation

int steps; // Number of simulation steps

// Input initial conditions

std::cout << "Enter the length of the pendulum (meters): ";

std::cin >> pendulum.length;

std::cout << "Enter the initial angle from vertical (radians): ";

std::cin >> pendulum.angle;

std::cout << "Enter the initial angular velocity (radians/second): ";

std::cin >> pendulum.angularVelocity;

std::cout << "Enter the time step for the simulation (seconds): ";

std::cin >> dt;

std::cout << "Enter the number of simulation steps: ";

std::cin >> steps;

// Simulation loop

std::cout << "Step\tAngle (radians)" << std::endl;

for (int step = 0; step <= steps; ++step) {

std::cout << step << "\t" << std::fixed << std::setprecision(4) << pendulum.angle << std::endl;

updatePendulum(pendulum, dt);

}

return 0;

}

Explanation: Headers and Constants: Includes iostream for input and output operations, cmath for mathematical functions, and iomanip for formatting. Defines g as the acceleration due to gravity (9.81 m/s²). Pendulum Structure: Represents the pendulum with its length, angle from vertical, and angularVelocity. updatePendulum Function: Calculates the angular acceleration using the formula −(g/length)⋅sin⁡(angle)- (g / …

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Simulation of Planetary Motion Gaming Project in C++

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#include <iostream>
#include <cmath>
#include <iomanip> // For std::fixed and std::setprecision

const double G = 6.67430e-11; // Gravitational constant

// Structure to represent a celestial body
struct Body {
    double mass;    // Mass of the body (in kg)
    double x;       // X position (in meters)
    double y;       // Y position (in meters)
    double vx;      // Velocity in X direction (in meters/second)
    double vy;      // Velocity in Y direction (in meters/second)
};

// Function to update positions and velocities using simple Euler integration
void updateBody(Body& body, double ax, double ay, double dt) {
    body.vx += ax * dt;
    body.vy += ay * dt;
    body.x += body.vx * dt;
    body.y += body.vy * dt;
}

// Function to compute the gravitational acceleration on a body due to another body
void computeGravitationalAcceleration(const Body& body1, const Body& body2, double& ax, double& ay) {
    double dx = body2.x - body1.x;
    double dy = body2.y - body1.y;
    double distance = std::sqrt(dx * dx + dy * dy);
    double force = G * body1.mass * body2.mass / (distance * distance);
    double ax_temp = force * dx / (body1.mass * distance);
    double ay_temp = force * dy / (body1.mass * distance);
    ax = ax_temp;
    ay = ay_temp;
}

int main() {
    Body planet1, planet2;
    double dt; // Time step for simulation
    int steps; // Number of simulation steps

    // Input initial conditions
    std::cout << "Enter the mass of the first planet (kg): ";
    std::cin >> planet1.mass;
    std::cout << "Enter the initial x position of the first planet (m): ";
    std::cin >> planet1.x;
    std::cout << "Enter the initial y position of the first planet (m): ";
    std::cin >> planet1.y;
    std::cout << "Enter the initial velocity in x direction of the first planet (m/s): ";
    std::cin >> planet1.vx;
    std::cout << "Enter the initial velocity in y direction of the first planet (m/s): ";
    std::cin >> planet1.vy;

    std::cout << "Enter the mass of the second planet (kg): ";
    std::cin >> planet2.mass;
    std::cout << "Enter the initial x position of the second planet (m): ";
    std::cin >> planet2.x;
    std::cout << "Enter the initial y position of the second planet (m): ";
    std::cin >> planet2.y;
    std::cout << "Enter the initial velocity in x direction of the second planet (m/s): ";
    std::cin >> planet2.vx;
    std::cout << "Enter the initial velocity in y direction of the second planet (m/s): ";
    std::cin >> planet2.vy;

    std::cout << "Enter the time step for the simulation (s): ";
    std::cin >> dt;
    std::cout << "Enter the number of simulation steps: ";
    std::cin >> steps;

    // Simulation loop
    std::cout << "Step\tX1\tY1\tX2\tY2" << std::endl;
    for (int step = 0; step <= steps; ++step) {
        double ax1 = 0, ay1 = 0, ax2 = 0, ay2 = 0;

        // Compute gravitational acceleration on both planets
        computeGravitationalAcceleration(planet1, planet2, ax1, ay1);
        computeGravitationalAcceleration(planet2, planet1, ax2, ay2);

        // Update positions and velocities of both planets
        updateBody(planet1, ax1, ay1, dt);
        updateBody(planet2, ax2, ay2, dt);

        // Output positions of both planets
        std::cout << step << "\t"
                  << std::fixed << std::setprecision(2) << planet1.x << "\t"
                  << std::fixed << std::setprecision(2) << planet1.y << "\t"
                  << std::fixed << std::setprecision(2) << planet2.x << "\t"
                  << std::fixed << std::setprecision(2) << planet2.y << std::endl;
    }

    return 0;
}

#include <iostream>

#include <cmath>

#include <iomanip> // For std::fixed and std::setprecision

const double G = 6.67430e-11; // Gravitational constant

// Structure to represent a celestial body

struct Body {

double mass; // Mass of the body (in kg)

double x; // X position (in meters)

double y; // Y position (in meters)

double vx; // Velocity in X direction (in meters/second)

double vy; // Velocity in Y direction (in meters/second)

};

// Function to update positions and velocities using simple Euler integration

void updateBody(Body& body, double ax, double ay, double dt) {

body.vx += ax * dt;

body.vy += ay * dt;

body.x += body.vx * dt;

body.y += body.vy * dt;

}

// Function to compute the gravitational acceleration on a body due to another body

void computeGravitationalAcceleration(const Body& body1, const Body& body2, double& ax, double& ay) {

double dx = body2.x - body1.x;

double dy = body2.y - body1.y;

double distance = std::sqrt(dx * dx + dy * dy);

double force = G * body1.mass * body2.mass / (distance * distance);

double ax_temp = force * dx / (body1.mass * distance);

double ay_temp = force * dy / (body1.mass * distance);

ax = ax_temp;

ay = ay_temp;

}

int main() {

Body planet1, planet2;

double dt; // Time step for simulation

int steps; // Number of simulation steps

// Input initial conditions

std::cout << "Enter the mass of the first planet (kg): ";

std::cin >> planet1.mass;

std::cout << "Enter the initial x position of the first planet (m): ";

std::cin >> planet1.x;

std::cout << "Enter the initial y position of the first planet (m): ";

std::cin >> planet1.y;

std::cout << "Enter the initial velocity in x direction of the first planet (m/s): ";

std::cin >> planet1.vx;

std::cout << "Enter the initial velocity in y direction of the first planet (m/s): ";

std::cin >> planet1.vy;

std::cout << "Enter the mass of the second planet (kg): ";

std::cin >> planet2.mass;

std::cout << "Enter the initial x position of the second planet (m): ";

std::cin >> planet2.x;

std::cout << "Enter the initial y position of the second planet (m): ";

std::cin >> planet2.y;

std::cout << "Enter the initial velocity in x direction of the second planet (m/s): ";

std::cin >> planet2.vx;

std::cout << "Enter the initial velocity in y direction of the second planet (m/s): ";

std::cin >> planet2.vy;

std::cout << "Enter the time step for the simulation (s): ";

std::cin >> dt;

std::cout << "Enter the number of simulation steps: ";

std::cin >> steps;

// Simulation loop

std::cout << "Step\tX1\tY1\tX2\tY2" << std::endl;

for (int step = 0; step <= steps; ++step) {

double ax1 = 0, ay1 = 0, ax2 = 0, ay2 = 0;

// Compute gravitational acceleration on both planets

computeGravitationalAcceleration(planet1, planet2, ax1, ay1);

computeGravitationalAcceleration(planet2, planet1, ax2, ay2);

// Update positions and velocities of both planets

updateBody(planet1, ax1, ay1, dt);

updateBody(planet2, ax2, ay2, dt);

// Output positions of both planets

std::cout << step << "\t"

<< std::fixed << std::setprecision(2) << planet1.x << "\t"

<< std::fixed << std::setprecision(2) << planet1.y << "\t"

<< std::fixed << std::setprecision(2) << planet2.x << "\t"

<< std::fixed << std::setprecision(2) << planet2.y << std::endl;

}

return 0;

}

Explanation: Headers and Constants: Includes iostream for input and output, cmath for mathematical functions, and iomanip for formatting. Defines the gravitational constant G. Body Structure: Represents a celestial body with mass, position (x, y), and velocity (vx, vy). updateBody Function: Updates the position and velocity of a body using simple Euler integration based …

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Functional requirements of Veterinary Clinic Management System with non-functional

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Functional Requirements User Authentication and Authorization Secure Login: Provide secure registration, login, and account management for users, including veterinarians, clinic staff, and administrators. Role-Based Access: Implement role-based access controls to manage permissions based on user roles (e.g., veterinarian, receptionist, admin). Patient Management Animal Records: Create and manage detailed records for each animal, including medical history, …

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Functional requirements of Vehicle Tracking and Management System with non-functional

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Functional Requirements User Authentication and Authorization Secure Login: Provide secure registration, login, and account management for users, including fleet managers, drivers, and administrators. Role-Based Access: Implement role-based access controls to manage permissions based on user roles (e.g., manager, driver, admin). Vehicle Tracking Real-Time Location Tracking: Track the real-time location of vehicles using GPS technology and …

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Simulation of Population Growth Gaming Project in C++

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#include <iostream>
#include <iomanip> // For std::fixed and std::setprecision

// Function to simulate population growth
void simulatePopulationGrowth(double initialPopulation, double growthRate, int years) {
    double population = initialPopulation;

    std::cout << "Year\tPopulation" << std::endl;
    for (int year = 0; year <= years; ++year) {
        std::cout << year << "\t" << std::fixed << std::setprecision(2) << population << std::endl;
        population *= (1 + growthRate);
    }
}

int main() {
    double initialPopulation;
    double growthRate;
    int years;

    // Input initial population, growth rate, and number of years
    std::cout << "Enter the initial population: ";
    std::cin >> initialPopulation;
    std::cout << "Enter the growth rate (as a decimal, e.g., 0.05 for 5%): ";
    std::cin >> growthRate;
    std::cout << "Enter the number of years: ";
    std::cin >> years;

    // Call the simulation function
    simulatePopulationGrowth(initialPopulation, growthRate, years);

    return 0;
}

#include <iostream>

#include <iomanip> // For std::fixed and std::setprecision

// Function to simulate population growth

void simulatePopulationGrowth(double initialPopulation, double growthRate, int years) {

double population = initialPopulation;

std::cout << "Year\tPopulation" << std::endl;

for (int year = 0; year <= years; ++year) {

std::cout << year << "\t" << std::fixed << std::setprecision(2) << population << std::endl;

population *= (1 + growthRate);

}

int main() {

double initialPopulation;

double growthRate;

int years;

// Input initial population, growth rate, and number of years

std::cout << "Enter the initial population: ";

std::cin >> initialPopulation;

std::cout << "Enter the growth rate (as a decimal, e.g., 0.05 for 5%): ";

std::cin >> growthRate;

std::cout << "Enter the number of years: ";

std::cin >> years;

// Call the simulation function

simulatePopulationGrowth(initialPopulation, growthRate, years);

return 0;

}

Explanation: Headers and Function Declaration: Includes iostream for input and output operations and iomanip for formatting the output. Declares the simulatePopulationGrowth function which handles the simulation of population growth. simulatePopulationGrowth Function: Takes three parameters: initialPopulation (starting population), growthRate (rate of population increase), and years (number of years to simulate). Initializes the population variable with …

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Functional requirements of Vehicle Fleet Management System with non-functional

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Functional Requirements User Authentication and Authorization Secure Login: Provide secure registration, login, and account management for users, including fleet managers, drivers, and administrators. Role-Based Access: Implement role-based access controls to manage permissions based on user roles (e.g., manager, driver, admin). Vehicle Management Vehicle Profiles: Create and manage profiles for each vehicle, including details such as …

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Functional requirements of University Library Management System with non-functional

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Functional Requirements User Authentication and Authorization Secure Login: Provide secure registration, login, and account management for users, including students, faculty, librarians, and administrators. Role-Based Access: Implement role-based access controls to manage permissions based on user roles (e.g., librarian, student, faculty). Catalog Management Cataloging: Allow librarians to catalog new books and resources, including details such as …

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Functional requirements of Vehicle Dispatch System with non-functional

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Functional Requirements User Authentication and Authorization Secure Login: Provide secure registration, login, and account management for users, including dispatchers, drivers, and administrators. Role-Based Access: Implement role-based access controls to manage permissions based on user roles (e.g., dispatcher, driver, admin). Vehicle Management Vehicle Profiles: Create and manage profiles for each vehicle, including details such as make, …

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Functional requirements of Tutor Management System with non-functional

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Functional Requirements User Authentication and Authorization Secure Login: Provide secure registration, login, and account management for users, including tutors, students, and administrators. Role-Based Access: Implement role-based access controls to manage permissions based on user roles (e.g., tutor, student, admin). Tutor Management Tutor Profiles: Allow for the creation and management of tutor profiles, including personal information, …

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Functional requirements of Treasury Management System with non-functional

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Functional Requirements User Authentication and Authorization Secure Login: Provide secure registration, login, and account management for users, including treasury staff, finance managers, and administrators. Role-Based Access: Implement role-based access controls to manage permissions based on user roles (e.g., treasurer, finance officer, admin). Cash Management Cash Position Tracking: Track and manage the organization’s cash position, including …

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