Simple Harmonic Motion — Chapter Summary
ICSE · Class 11 · Physics
Summary of Simple Harmonic Motion for ICSE Class 11 Physics. Part of the ICSE Class 11 Physics syllabus. Simple harmonic motion is a special kind.
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Overview
Simple harmonic motion is a special kind of oscillatory motion in which a body moves to and fro about an equilibrium position with constant amplitude and single frequency. It is a periodic motion, so it repeats after equal intervals of time. The motion is simple because the restoring force or accele
Key Concepts
A motion that repeats continuously on
A motion that repeats continuously on a definite path in a definite interval of time is periodic motion. The interval is called the time period, T. Ex
A periodic motion in which
A periodic motion in which a body moves to and fro about a definite mean or equilibrium position, confined between extreme positions, is oscillatory m
SHM is harmonic oscillation of constant
SHM is harmonic oscillation of constant amplitude and single frequency. In SHM, the acceleration or force is directly proportional to displacement and
Amplitude
Amplitude, a, is the maximum displacement from equilibrium and equals the radius of the reference circle. Angular frequency, ω, is given by T = 2π/ω a
The displacement may be written as
The displacement may be written as y = a sin(ωt + φ). The velocity is v = ω√(a² − y²), the acceleration is α = −ω²y, and the differential equation is
Learning Objectives
- Understand the meaning of periodic motion, oscillatory motion, and their difference.
- Recognize simple harmonic motion as a special case of oscillatory motion.
- Use the displacement, velocity, acceleration, and time-period relations of SHM.
- Understand phase, initial phase, amplitude, angular frequency, and frequency.
- Relate SHM to projection of uniform circular motion on a diameter of a reference circle.
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