# Normal Modes

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بۆ به‌ڕێوه‌ بردن کلیک بکه‌
Use this HTML code to display a screenshot with the words "Click to Run". Oscillator Normal Modes جه‌مسه‌ر گرتن PhET پشتیوانی ئه بێ له لایه ن و فێرکارانێ وه ک ئێوه.

### ناوه‌ڕۆک

• Oscillator
• Normal Modes
• جه‌مسه‌ر گرتن
• Mass Spring System
• فرێکانس
• زۆروزه‌به‌نه‌یی
• Phase

### Description

Play with a 1D or 2D system of coupled mass-spring oscillators. Vary the number of masses, set the initial conditions, and watch the system evolve. See the spectrum of normal modes for arbitrary motion. See longitudinal or transverse modes in the 1D system.

### Sample Learning Goals

• Explain what a normal mode is.
• Explain what are the frequency, the amplitude, and the phase of a normal mode.
• Explain why different normal modes have different frequencies and why higher-numbered modes have higher frequencies.
• Identify how many normal modes a given system has and be able to sketch the individual modes qualitatively, for both 1D and 2D systems.
• Explain the distinction between transverse and longitudinal normal modes in a 1D system.
• Explain how adjusting the phase of a normal mode affects the motion of the system.
• Explain qualitatively how any arbitrary state of the system can be written as a sum of normal modes; that is, explain the superposition principle.
• Explain which properties of the system are set by the initial conditions, which properties are time-independent, and which properties are time-dependent.
• Explain why striking a metal plate in one spot raises the temperature of the plate.
Version 1.01

### Teacher Tips

 Overview of sim controls, model simplifications, and insights into student thinking ( PDF ).

### Teacher-Submitted Activities

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Basque All Euskara Bibrazio-modu normalak
Belarusian All беларускі Нармальныя рэжымы
Bosnian All Bosanski Normalni modovi
Brazilian Portuguese All português (Brasil) Modos Normais
Chinese - Simplified All 中文 (中国) 标准振荡
Chinese - Traditional All 中文 (台灣) Normal Modes 正規振態
Danish All Dansk Normalindstillinger
French All français Modes vibratoires à plusieurs corps
Galician All Gallegan Modos de vibración
German All Deutsch Normalschwingungen 1D & 2D
Greek All Ελληνικά Κανονικές καταστάσεις
Hebrew All עברית מצבים נורמלים
Hungarian All magyar Normál módusok
Indonesian All Bahasa Indonesia Pola - pola Normal
Italian All italiano Modi normali di vibrazione (Risonanza)
Japanese All 日本語 基準振動（モード）
Kazakh All Kazakh қалыпты тізімдер
Korean All 한국어 정규 모드
Macedonian All македонски Нормални модови
Mongolian All Монгол (Монгол) Хэвийн Горим
Polish All polski Mody Normalne
Serbian All Српски Нормални модови
Slovak All Slovenčina Normálne vibračné módy
Spanish All español Frecuencias resonantes.
Spanish (Mexico) All español (México) Frecuencias resonantes.
Spanish (Peru) All español (Perú) Frecuencias Resonantes
Thai All ไทย โหมดปกติ
Turkmen All Turkmen Yrgyldamanyň normal diapazonlary
Vietnamese All Tiếng Việt Kiểu dao động chuẩn tắc
فارسی All فارسی مد طبيعي
Windows Macintosh Linux
Microsoft Windows
XP/Vista/7/8.1/10
Macromedia Flash 9 or later
OS X 10.9.5 or later
Macromedia Flash 9 or later
Macromedia Flash 9 or later
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