Oscillations and Waves (Part 2): The Simple Pendulum and Energy in Simple Harmonic Motion

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Oscillations and Waves (Part 2)
The Simple Pendulum and Energy in Simple Harmonic Motion
Dr. Sourav Marik
Assistant Professor, TIET, Patiala
Dr. Prabal Pratap Singh Bhadauria

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Contents
Simple Harmonic Motion (SHM)—Spring Oscillations
Mathematical Representation of Simple Harmonic Motion
The Simple Pendulum
Energy in Simple Harmonic Motion
Damped Oscillations
Forced Oscillations

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Simple Pendulum
A simple pendulum consists of a mass at the end of a lightweight cord.
We assume that the cord does not stretch, and that its mass is negligible.
In order to be in SHM, the restoring force
must be proportional to the negative of the
displacement