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Oscillations and Waves: A Complete AQA A-Level Guide | 振动与波：AQA A-Level 完全指南

2026-08-30 06:01 · 本文部分内容由AI辅助创作

📚 Oscillations and Waves: A Complete AQA A-Level Guide | 振动与波：AQA A-Level 完全指南

Oscillations and waves are fundamental to almost every area of physics, from the vibration of atoms to the propagation of light and sound. In the AQA A-Level Physics specification, this topic forms a core component of Paper 2 and appears throughout synoptic questions. A deep understanding of simple harmonic motion, wave properties, and the mathematics that governs them is essential for exam success.

振动与波几乎是物理学所有领域的基础——从原子的振动到光与声的传播。在 AQA A-Level 物理考试大纲中，这一主题是 Paper 2 的核心组成部分，也贯穿于综合性题目中。深入理解简谐运动、波动特性及其数学规律，是考试取得高分的关键。

1. What is Simple Harmonic Motion? | 什么是简谐运动？

Simple harmonic motion (SHM) is a special type of periodic oscillation in which the restoring force is directly proportional to the displacement from equilibrium and acts in the opposite direction. This leads to the defining acceleration condition:

简谐运动（SHM）是一种特殊的周期性振动，其回复力与偏离平衡位置的位移成正比，且方向相反。由此得到定义加速度的核心条件：

a = −ω²x

where a is the acceleration, x is the displacement from equilibrium, and ω is the angular frequency (with unit rad s⁻¹). The negative sign shows that acceleration always acts towards the equilibrium position.

其中 a 为加速度，x 为相对平衡位置的位移，ω 为角频率（单位 rad s⁻¹）。负号表示加速度始终指向平衡位置。

Common exam examples of SHM include a mass on a spring and a simple pendulum (for small angles). The condition a ∝ −x must be verified when a system is said to perform SHM.

考试中常见的简谐运动实例包括弹簧振子和单摆（小角度条件下）。判断一个系统是否做简谐运动，必须验证 a ∝ −x 是否成立。

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2. Key Quantities and Equations | 关键量与方程

Several quantities are used to describe oscillatory motion. Displacement (x) is the distance from equilibrium at any instant; amplitude (A) is the maximum displacement; period (T) is the time for one complete oscillation; frequency (f) is the number of oscillations per second; and phase describes the position within the cycle.

描述振动运动需要使用多个物理量。位移（x）是任意时刻相对平衡位置的距离；振幅（A）是最大位移；周期（T）是一次完整振动所需的时间；频率（f）是每秒振动的次数；相位描述系统在振动周期中所处的位置。