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Added Mass Spring Calculator (#1800)
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| # <p align="center">Mass-Spring Calculator</p> | ||
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| ## Description :- | ||
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| The Mass-Spring Calculator is a web application that calculates various properties of a mass-spring system. Given the mass of the object (m), the spring constant (k), and the amplitude (A), the calculator computes the following properties: | ||
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| - Period of Oscillation (T) | ||
| - Frequency of Oscillation (f) | ||
| - Angular Frequency (ω) | ||
| - Maximum Speed (v_max) | ||
| - Maximum Acceleration (a_max) | ||
| - Kinetic Energy at Maximum Speed (KE) | ||
| - Potential Energy at Maximum Displacement (PE) | ||
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| ## Tech Stacks :- | ||
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| - HTML | ||
| - CSS | ||
| - JavaScript | ||
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| ## Features :- | ||
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| - Calculate the period, frequency, angular frequency, maximum speed, maximum acceleration, kinetic energy, and potential energy of a mass-spring system. | ||
| - User-friendly interface with input fields for mass, spring constant, and amplitude. | ||
| - Responsive design with a background image and enhanced styling. | ||
| - Clear and detailed display of calculated results. | ||
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| <!DOCTYPE html> | ||
| <html lang="en"> | ||
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| <head> | ||
| <meta charset="UTF-8"> | ||
| <meta http-equiv="X-UA-Compatible" content="IE=edge"> | ||
| <meta name="viewport" content="width=device-width, initial-scale=1.0"> | ||
| <link rel="stylesheet" href="style.css"> | ||
| <link href="https://fonts.googleapis.com/css2?family=Roboto:wght@500&display=swap" rel="stylesheet"> | ||
| <title>Mass-Spring Calculator</title> | ||
| </head> | ||
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| <body> | ||
| <header class="main"> | ||
| <h1 class="header">Mass-Spring Calculator</h1> | ||
| <div class="calculator-container"> | ||
| <label for="mass">Mass (m): </label> | ||
| <input type="number" id="mass" name="mass" step="0.01" required> | ||
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| <label for="spring-constant">Spring Constant (k): </label> | ||
| <input type="number" id="spring-constant" name="spring-constant" step="0.01" required> | ||
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| <label for="amplitude">Amplitude (A): </label> | ||
| <input type="number" id="amplitude" name="amplitude" step="0.01" required> | ||
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| <button class="submit-button" onclick="calculateProperties()">Calculate</button> | ||
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| <div id="results" class="results"> | ||
| <h2>Results:</h2> | ||
| <p id="period"></p> | ||
| <p id="frequency"></p> | ||
| <p id="angular-frequency"></p> | ||
| <p id="max-speed"></p> | ||
| <p id="max-acceleration"></p> | ||
| <p id="kinetic-energy"></p> | ||
| <p id="potential-energy"></p> | ||
| </div> | ||
| </div> | ||
| </header> | ||
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| <script src="script.js"></script> | ||
| </body> | ||
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| </html> |
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| function calculateProperties() { | ||
| const mass = parseFloat(document.getElementById('mass').value); | ||
| const springConstant = parseFloat(document.getElementById('spring-constant').value); | ||
| const amplitude = parseFloat(document.getElementById('amplitude').value); | ||
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| if (isNaN(mass) || isNaN(springConstant) || isNaN(amplitude)) { | ||
| alert("Please enter valid numbers for mass, spring constant, and amplitude."); | ||
| return; | ||
| } | ||
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| // Period of Oscillation (T) | ||
| const period = 2 * Math.PI * Math.sqrt(mass / springConstant); | ||
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| // Frequency of Oscillation (f) | ||
| const frequency = 1 / period; | ||
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| // Angular Frequency (ω) | ||
| const angularFrequency = 2 * Math.PI * frequency; | ||
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| // Maximum Speed (v_max) | ||
| const maxSpeed = angularFrequency * amplitude; | ||
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| // Maximum Acceleration (a_max) | ||
| const maxAcceleration = angularFrequency * angularFrequency * amplitude; | ||
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| // Kinetic Energy at Maximum Speed (KE) | ||
| const kineticEnergy = 0.5 * mass * maxSpeed * maxSpeed; | ||
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| // Potential Energy at Maximum Displacement (PE) | ||
| const potentialEnergy = 0.5 * springConstant * amplitude * amplitude; | ||
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| // Display results | ||
| document.getElementById('period').textContent = `Period of Oscillation (T): ${period.toFixed(2)} s`; | ||
| document.getElementById('frequency').textContent = `Frequency of Oscillation (f): ${frequency.toFixed(2)} Hz`; | ||
| document.getElementById('angular-frequency').textContent = `Angular Frequency (ω): ${angularFrequency.toFixed(2)} rad/s`; | ||
| document.getElementById('max-speed').textContent = `Maximum Speed (v_max): ${maxSpeed.toFixed(2)} m/s`; | ||
| document.getElementById('max-acceleration').textContent = `Maximum Acceleration (a_max): ${maxAcceleration.toFixed(2)} m/s²`; | ||
| document.getElementById('kinetic-energy').textContent = `Kinetic Energy (KE): ${kineticEnergy.toFixed(2)} J`; | ||
| document.getElementById('potential-energy').textContent = `Potential Energy (PE): ${potentialEnergy.toFixed(2)} J`; | ||
| } |
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| body { | ||
| font-family: 'Roboto', sans-serif; | ||
| margin: 0; | ||
| padding: 0; | ||
| display: flex; | ||
| justify-content: center; | ||
| align-items: center; | ||
| height: 100vh; | ||
| background: linear-gradient(to right, #1e3c72, #2a5298); | ||
| background-size: cover; | ||
| background-position: center; | ||
| background-repeat: no-repeat; | ||
| flex-direction: column; | ||
| min-height: 100vh; | ||
| } | ||
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| .header { | ||
| font-size: 3em; | ||
| font-weight: bold; | ||
| background: linear-gradient(to right, #ff6b6b, #ff9f43); | ||
| -webkit-background-clip: text; | ||
| -webkit-text-fill-color: transparent; | ||
| text-shadow: 1px 1px 2px rgba(0, 0, 0, 0.3); | ||
| animation: fadeInScale 2s ease-in-out; | ||
| margin-bottom: 20px; | ||
| } | ||
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| @keyframes fadeInScale { | ||
| 0% { | ||
| opacity: 0; | ||
| transform: scale(0.8); | ||
| } | ||
| 100% { | ||
| opacity: 1; | ||
| transform: scale(1); | ||
| } | ||
| } | ||
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| .main { | ||
| text-align: center; | ||
| background: rgba(255, 255, 255, 0.95); | ||
| padding: 30px; | ||
| border-radius: 15px; | ||
| box-shadow: 0 8px 16px rgba(0, 0, 0, 0.3); | ||
| max-width: 400px; | ||
| width: 100%; | ||
| } | ||
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| .calculator-container { | ||
| background-color: rgba(255, 255, 255, 0.9); | ||
| box-shadow: 0 4px 8px rgba(0, 0, 0, 0.2); | ||
| border-radius: 10px; | ||
| padding: 20px; | ||
| text-align: center; | ||
| display: flex; | ||
| flex-direction: column; | ||
| justify-content: center; | ||
| align-items: center; | ||
| } | ||
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| label { | ||
| font-size: 1.2em; | ||
| color: #333; | ||
| margin-bottom: 10px; | ||
| } | ||
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| input { | ||
| padding: 10px; | ||
| font-size: 1em; | ||
| border: 1px solid #ddd; | ||
| border-radius: 4px; | ||
| background-color: #f9f9f9; | ||
| margin-bottom: 15px; | ||
| width: 100%; | ||
| box-sizing: border-box; | ||
| } | ||
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| input:focus { | ||
| border-color: #007bff; | ||
| outline: none; | ||
| } | ||
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| .submit-button { | ||
| display: inline-block; | ||
| padding: 12px 24px; | ||
| background-color: #5d13d4; | ||
| color: white; | ||
| border: none; | ||
| border-radius: 25px; | ||
| cursor: pointer; | ||
| font-size: 1em; | ||
| transition: background-color 0.3s, transform 0.3s; | ||
| } | ||
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| .submit-button:hover { | ||
| background-color: #45a049; | ||
| transform: scale(1.05); | ||
| } | ||
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| .results { | ||
| margin-top: 20px; | ||
| text-align: left; | ||
| width: 100%; | ||
| } | ||
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| .results h2 { | ||
| margin-bottom: 10px; | ||
| font-size: 1.5em; | ||
| color: #333; | ||
| } | ||
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| .results p { | ||
| margin: 8px 0; | ||
| font-size: 1em; | ||
| color: #555; | ||
| } |
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