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9702 · 17.2

Energy in simple harmonic motion

In **Simple Harmonic Motion (SHM)**, an object oscillates rhythmically, but what drives this motion? It's all about **energy interconversion**! We'll explore how **kinetic energy (KE)** and **potential energy (PE)** continuously swap roles, maintaining a constant **total mechanical energy** in ideal systems. Get ready to visualise the energy dynamics of SHM, from ideal cases to the real-world effects of **damping** and **resonance**. This pilot aligns with **Senpai Corner** A Level notes (2025–2027) for topic **17.2**.

Need to know

What you need to know

  • During SHM, energy is constant exchanged between KE and PE.
  • When one goes up, the other goes down and vice versa.
  • E.g., the PE of a pendulum swing is maximum when it is at the top of the swing whereby it momentarily stops (KE=0) and reverse direction.
  • The KE is maximum at the point of equilibrium (bottom PE=0).
  • Speed (v) is max when displacement x = 0. Hence KE is maximum.

Explanation

Energy in simple harmonic motion

  1. During SHM, energy is constant exchanged between KE and PE.
  2. When one goes up, the other goes down and vice versa.
  3. E.g., the PE of a pendulum swing is maximum when it is at the top of the swing whereby it momentarily stops (KE=0) and reverse direction.
  4. The KE is maximum at the point of equilibrium (bottom PE=0).