Oscillations, Optics, and Lasers
Simple Harmonic Motion (SHM)
SHM is a type of motion where acceleration is directly proportional to displacement and directed
towards the equilibrium position.
Characteristics of SHM:
Periodic motion
Oscillatory motion
Restoring force proportional to displacement
Examples of SHM:
Simple pendulum
Spring-mass system
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Differential Equation of SHM
Restoring force:
F \propto -y
F = -k y ] (where is a constant)
From Newton’s second law:
F = ma = m \frac{d^2 y}{dt^2}
Comparing equations:
Simple Harmonic Motion (SHM)
SHM is a type of motion where acceleration is directly proportional to displacement and directed
towards the equilibrium position.
Characteristics of SHM:
Periodic motion
Oscillatory motion
Restoring force proportional to displacement
Examples of SHM:
Simple pendulum
Spring-mass system
---
Differential Equation of SHM
Restoring force:
F \propto -y
F = -k y ] (where is a constant)
From Newton’s second law:
F = ma = m \frac{d^2 y}{dt^2}
Comparing equations:
